When calculating the factorial of 100 (100!) with Java using integers I get 0

When doing this:

int x = 100;
int result = 1;
for (int i = 1; i < (x + 1); i++) {
    result = (result * i);
}
System.out.println(result);

This is clearly because the result is too big for an integer, but I am used to get big negative numbers for the overflow, and not 0.

Thanks in advance!

When I switch to this:

int x = 100;
int result = 1;

for (int i = 1; i < (x + 1); i++) {
    result = (result * i);
    System.out.println(result);
}

I get this.