CZ-SK-MO 2022 Problem 2

We say that a positive integer $k$ is fair if the number of $2021$ -digit palindromes that are a multiple of $k$ is the same as the number of $2022$ -digit palindromes that are a multiple of $k$ . Does the set $M = \{1, 2,..,35\}$ contain more numbers that are fair or those that are not fair?

(A palindrome is an integer that reads the same forward and backward.)

(David Hruska)