The number of zeros in the integer equal to $\left(10^{100}\right) \times\left(100^{10}\right)$ is
(A) 120
(B) 200
(C) 220
(D) 300
(E) 110
Since $100=10^{2}$, then $100^{10}=\left(10^{2}\right)^{10}=10^{20}$.

Therefore, $\left(10^{100}\right) \times\left(100^{10}\right)=\left(10^{100}\right) \times\left(10^{20}\right)=10^{120}$.

When written out, this integer consists of a 1 followed by 120 zeros.

ANSWER: (A)