22111122100 has 36 divisors (see below), whose sum is σ = 47988840844. Its totient is φ = 8843028480.

The previous prime is 22111122053. The next prime is 22111122109. The reversal of 22111122100 is 122111122.

It can be written as a sum of positive squares in 6 ways, for example, as 1720424484 + 20390697616 = 41478^2 + 142796^2 .

It is a super-2 number, since 2×22111122100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 791572 + ... + 819028.

Almost surely, 2^22111122100 is an apocalyptic number.

22111122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22111122100 is an abundant number, since it is smaller than the sum of its proper divisors (25877718744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22111122100 is a wasteful number, since it uses less digits than its factorization.

22111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35524 (or 35517 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22111122100 its reverse (122111122), we get a palindrome (22233233222).

The spelling of 22111122100 in words is "twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".