Palindromes between 100 and 122 = 101, 111, 121
Sum = 101 + 111 + 121
= (100 + 1) + (100 + 10 + 1) + (100 + 20 + 1)
= (100 + 100 + 100) + (10 + 20) + (1 + 1 + 1)
= 300 + 30 + 3
= 333
Therefore, the sum of palindromic numbers between 100 and 122 is 333.