$\textbf{Prime Number:}$ A number that is divisible only by itself and $1.$
There are totally $21$ numbers they do not have any factors of $P.$ That numbers are the prime numbers like following below:
$101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199$
Reference:
So, the correct answer is $(D).$