First of all we must install requirements.
see this link
After successfully install the requirements we run simple hello world MPI.
Hello World!
#include <mpi.h>
#include <stdio.h>
int main(int argc, char** argv) {
    // Initialize the MPI environment
    MPI_Init(NULL, NULL);
    // Get the number of processes
    int world_size;
    MPI_Comm_size(MPI_COMM_WORLD, &world_size);
    // Get the rank of the process
    int world_rank;
    MPI_Comm_rank(MPI_COMM_WORLD, &world_rank);
    // Get the name of the processor
    char processor_name[MPI_MAX_PROCESSOR_NAME];
    int name_len;
    MPI_Get_processor_name(processor_name, &name_len);
    // Print off a hello world message
    printf("Hello world from processor %s, rank %d out of %d processors\n",
           processor_name, world_rank, world_size);
    // Finalize the MPI environment.
    MPI_Finalize();
}
source of above code
Compile and Run
$ mpicc mhello.c -o mhello
$ mpirun -np #numberOfProcess ./mhello
After successful run this code you can go further.
And return to original Question. 
I think your usage of AES part of project is wrong.
By performing some changes and use 
AES_ECB_decrypt(&ctx, data_file);
AES_ECB_encrypt(&ctx, data_file);
works.
GitHub page of project say how to use Enc and Dec function see 
Second important change to use struct AES_ctx ctx;
above main to only one time execution.
This is working version of code.
mpi-hello.c
#include <stdio.h>
#include <string.h>
#include <mpi.h>
#include "aes.h"
/*
 * compile
 * mpicc mpi-hello.c aes.c -o mpi-hello
 * 
 * Run
 * mpirun -np 2  executable
 * 
 * 
 *
 * */
struct AES_ctx ctx;
unsigned long ToUInt(char* str)
{
    unsigned long mult = 1;
    unsigned long re = 0;
    int len = strlen(str);
    for(int i = len -1 ; i >= 0 ; i--)
    {
        re = re + ((int)str[i] -48)*mult;
        mult = mult*10;
    }
    return re;
}
int main(int argc, char** argv) {
    int size,rank=0;
    MPI_Init(NULL, NULL);
    // Get the number of processes
    int world_size;
    MPI_Comm_size(MPI_COMM_WORLD, &size);
    // Get the rank of the process
    int world_rank;
    MPI_Comm_rank(MPI_COMM_WORLD, &rank);
    int data = 532123;
    uint8_t data_file[10];
    printf("this is in main\n");
    if (rank == 0) {
        printf("data rank: 0: %d\n", data);
        //convert in to string
        sprintf( data_file, "%d", data);
        //string
        printf("data rank: 0: %s\n", data_file);
        //encrypt data
        AES_ECB_encrypt(&ctx, data_file);
        printf("Sending in 0 after crypt: %s\n", data_file);
        printf("strlen send: %d\n", strlen(data_file));
        MPI_Send(data_file,16,MPI_UINT8_T,1,0,MPI_COMM_WORLD);
    }else{
        MPI_Recv(data_file,16,MPI_UINT8_T,0,0,MPI_COMM_WORLD,MPI_STATUS_IGNORE);
        printf("Recieved in 1 before: %s\n",data_file);
        printf("strlen recv: %d\n", strlen(data_file));
        AES_ECB_decrypt(&ctx, data_file);
        printf("DEC at Rank 1 string: %s\n", data_file);
        printf("DEC at Rank 1 int: %u\n", ToUInt(data_file));
    }
    MPI_Finalize();
}
Important notes
PS.
Edit 1
#include <stdio.h>
#include <string.h>
#include <mpi.h>
#include "aes.h"
/*
 * compile
 * mpicc mpi-hello.c aes.c -o mpi-hello
 * 
 * Run
 * mpirun -np 2  executable
 * 
 * 
 *
 * */
struct AES_ctx ctx;
unsigned long ToUInt(char* str)
{
    unsigned long mult = 1;
    unsigned long re = 0;
    int len = strlen(str);
    for(int i = len -1 ; i >= 0 ; i--)
    {
        re = re + ((int)str[i] -48)*mult;
        mult = mult*10;
    }
    return re;
}
int main(int argc, char** argv) {
    int size,rank=0;
    MPI_Init(NULL, NULL);
    // Get the number of processes
    int world_size;
    MPI_Comm_size(MPI_COMM_WORLD, &size);
    // Get the rank of the process
    int world_rank;
    MPI_Comm_rank(MPI_COMM_WORLD, &rank);
    int data = 532123;
    uint8_t data_file[10];
    printf("this is in main\n");
    if (rank == 0) {
        printf("data rank: 0: %d\n", data);
        //convert in to string
        sprintf( data_file, "%d", data);
        //string
        printf("data rank: 0: %s\n", data_file);
        //encrypt data
        //AES_ECB_encrypt(&ctx, data_file);
        AES_CTR_xcrypt_buffer(&ctx, data_file, strlen(data_file));
        printf("Sending in 0 after crypt: %s\n", data_file);
        printf("strlen send: %d\n", strlen(data_file));
        MPI_Send(data_file,10,MPI_UINT8_T,1,0,MPI_COMM_WORLD);
    }else{
        MPI_Recv(data_file,10,MPI_UINT8_T,0,0,MPI_COMM_WORLD,MPI_STATUS_IGNORE);
        printf("Recieved in 1 before: %s\n",data_file);
        printf("strlen recv: %d\n", strlen(data_file));
        //AES_ECB_decrypt(&ctx, data_file);
        AES_CTR_xcrypt_buffer(&ctx, data_file, strlen(data_file));  
        printf("DEC at Rank 1 string: %s\n", data_file);
        printf("DEC at Rank 1 int: %u\n", ToUInt(data_file));
    }
    MPI_Finalize();
}
Edit 2
Apply request in comment.
#include <stdio.h>
#include <string.h>
#include <mpi.h>
#include "aes.h"
/*
 * compile
 * mpicc mpi-hello.c aes.c -o mpi-hello
 * 
 * Run
 * mpirun -np 2  executable
 * 
 * 
 * */
unsigned long ToUInt(char* str)
{
    unsigned long mult = 1;
    unsigned long re = 0;
    int len = strlen(str);
    for(int i = len -1 ; i >= 0 ; i--)
    {
        re = re + ((int)str[i] -48)*mult;
        mult = mult*10;
    }
    return re;
}
int main(int argc, char** argv) {
    int size,rank=0;
    MPI_Init(NULL, NULL);
    // Get the number of processes
    int world_size;
    MPI_Comm_size(MPI_COMM_WORLD, &size);
    // Get the rank of the process
    int world_rank;
    MPI_Comm_rank(MPI_COMM_WORLD, &rank);
    int data = 532123;
    uint8_t data_file[10];
     //start Crypto Section
    //~ key and iv
    ///
    uint8_t key[32] = { 0x60, 0x3d, 0xeb, 0x10, 0x15, 0xca, 0x71, 0xbe, 0x2b, 0x73, 0xae, 0xf0, 0x85, 0x7d, 0x77, 0x81,
                        0x1f, 0x35, 0x2c, 0x07, 0x3b, 0x61, 0x08, 0xd7, 0x2d, 0x98, 0x10, 0xa3, 0x09, 0x14, 0xdf, 0xf4 
    };
    uint8_t iv[16]  = { 0xf0, 0xf1, 0xf2, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff
    };
    ///    
    struct AES_ctx ctx;
    printf("this is in main\n");
    if (rank == 0) {
        printf("data rank: 0: %d\n", data);
        //convert in to string
        sprintf( data_file, "%d", data);
        //string
        printf("data rank: 0: %s\n", data_file);
        ///Enc
        //set
        AES_init_ctx_iv(&ctx, key, iv); 
        //enc
        AES_CTR_xcrypt_buffer(&ctx, data_file, strlen(data_file));
        printf("Sending in 0 after crypt: %s\n", data_file);
        printf("strlen send: %d\n", strlen(data_file));
        MPI_Send(data_file,10,MPI_UINT8_T,1,0,MPI_COMM_WORLD);
    }else{
        MPI_Recv(data_file,10,MPI_UINT8_T,0,0,MPI_COMM_WORLD,MPI_STATUS_IGNORE);
        printf("Recieved in 1 before: %s\n",data_file);
        printf("strlen recv: %d\n", strlen(data_file));
        ///Dec
        //set
        AES_init_ctx_iv(&ctx, key, iv); 
        //dec
        AES_CTR_xcrypt_buffer(&ctx, data_file, strlen(data_file));  
        printf("DEC at Rank 1 string: %s\n", data_file);
        printf("DEC at Rank 1 int: %u\n", ToUInt(data_file));
    }
    MPI_Finalize();
}
Edit 3
Place key and iv in if else section.
if (rank == 0) {
    printf("data rank: 0: %d\n", data);
    //convert in to string
    sprintf( data_file, "%d", data);
    //string
    printf("data rank: 0: %s\n", data_file);
    //~ key and iv
    ///
    uint8_t key[32] = { 0x60, 0x3d, 0xeb, 0x10, 0x15, 0xca, 0x71, 0xbe, 0x2b, 0x73, 0xae, 0xf0, 0x85, 0x7d, 0x77, 0x81,
                        0x1f, 0x35, 0x2c, 0x07, 0x3b, 0x61, 0x08, 0xd7, 0x2d, 0x98, 0x10, 0xa3, 0x09, 0x14, 0xdf, 0xf4 
    };
    uint8_t iv[16]  = { 0xf0, 0xf1, 0xf2, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff
    };
    ///    
    ///Enc
    //set
    AES_init_ctx_iv(&ctx, key, iv); 
    //enc
    AES_CTR_xcrypt_buffer(&ctx, data_file, strlen(data_file));
    printf("Sending in 0 after crypt: %s\n", data_file);
    printf("strlen send: %d\n", strlen(data_file));
    MPI_Send(data_file,10,MPI_UINT8_T,1,0,MPI_COMM_WORLD);
}else{
    MPI_Recv(data_file,10,MPI_UINT8_T,0,0,MPI_COMM_WORLD,MPI_STATUS_IGNORE);
    printf("Recieved in 1 before: %s\n",data_file);
    printf("strlen recv: %d\n", strlen(data_file));
    //~ key and iv
    ///
    uint8_t key[32] = { 0x60, 0x3d, 0xeb, 0x10, 0x15, 0xca, 0x71, 0xbe, 0x2b, 0x73, 0xae, 0xf0, 0x85, 0x7d, 0x77, 0x81,
                        0x1f, 0x35, 0x2c, 0x07, 0x3b, 0x61, 0x08, 0xd7, 0x2d, 0x98, 0x10, 0xa3, 0x09, 0x14, 0xdf, 0xf4 
    };
    uint8_t iv[16]  = { 0xf0, 0xf1, 0xf2, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff
    };
    ///    
    ///Dec
    //set
    AES_init_ctx_iv(&ctx, key, iv); 
    //dec
    AES_CTR_xcrypt_buffer(&ctx, data_file, strlen(data_file));  
    printf("DEC at Rank 1 string: %s\n", data_file);
    printf("DEC at Rank 1 int: %u\n", ToUInt(data_file));
}
For example You can change first element of key i.e: 0x60 -> 0x61 in either if or else not both, then recompile and run the program to see if receiver haven't correct key he/she cant decode your encrypted data.
[ToDo]
- Add some more explanation on AES.