As number is divisible 99
∴ it should be divisible by 9 and 11.
for divisibility by 9 the sum of digit is divisible by 9. As the number contains only 2 as digit so the sum of digit should be 18, 36,....... But the number should be divisible by 11 so we can’t take sum as 18. So we take sum of digit is 36. So required number = 2222........... up to 18 times. Which is divisible by 11 and 9 i.e., 99.
Sum of the digits = 36.