There are 2 prime numbers, they are 201 and 203

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No.

201 is divisible by three: 3 x 67 = 201

203 is divisible by seven: 7 x 29 = 203

To show a number (n) is prime, you must show it is not divisible
by any prime up to the square root of n.

Any even number is divisible by two; any number ending in 5 is
divisible by five. So you only have to check the numbers ending in
1, 3, 7, or 9.

201 and 207 are divisible by three. Any easy check is to add the
digits. If that total is divisible by three, so is the original
number. That rules out 201 and 207.

203 is divisible by seven. Any easy (but not well known) test
for divisibility by seven is this. Take the ones digit, double it,
subtract from the remaining digits. In this case, for 203, take 3,
double it to 6, and subtract from 20 to get 14. 14 is divisible by
seven, so the original 203 is as well.

209 is divisible by eleven. A test for elevens is to add every
other digit to get one total, add the other digits to get a second
total, then take the difference of those totals. 2 + 9 = 11 for the
first total. 0 is the other total. 11 – 0 = 11 and that is
divisible by eleven.