The smallest 3 digit prime number is:
The smallest 3-digit number is 100, which is divisible by 2.
$\therefore$ 100 is not a prime number.
$ \sqrt{101} $ < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.
$\therefore$101 is a prime number.
Hence 101 is the smallest 3-digit prime number.