22011122112100 has 108 divisors (see below), whose sum is σ = 53020889547444. Its totient is φ = 7924796000000.

The previous prime is 22011122112047. The next prime is 22011122112131. The reversal of 22011122112100 is 121122111022.

It can be written as a sum of positive squares in 6 ways, for example, as 1096305326116 + 20914816785984 = 1047046^2 + 4573272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7783351 + ... + 10227550.

Almost surely, 2^{22011122112100} is an apocalyptic number.

22011122112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011122112100 is an abundant number, since it is smaller than the sum of its proper divisors (31009767435344).

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

22011122112100 is a wasteful number, since it uses less digits than its factorization.

22011122112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18011038 (or 18011020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22011122112100 its reverse (121122111022), we get a palindrome (22132244223122).

The spelling of 22011122112100 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".