elementary number theory - How many zeroes are there at the end of the sum $1^1 + 2^2 + 3^3 + cdots+ 100^{100}$?

Find the number of zeroes at the end of the sum
$$1^1 + 2^2 + 3^3 + \cdots+ 100^{100}$$

I tried a lot and my answer came 4700 but it was not correct.