22131111113100 has 216 divisors, whose sum is σ = 78116116915200. Its totient is φ = 5192049456000.

The previous prime is 22131111113099. The next prime is 22131111113149. The reversal of 22131111113100 is 131111113122.

22131111113100 is a `hidden beast` number, since 2 + 21 + 311 + 11 + 11 + 310 + 0 = 666.

It is a super-2 number, since 2×22131111113100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35749000 + ... + 36362799.

Almost surely, 2^{22131111113100} is an apocalyptic number.

22131111113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131111113100 is an abundant number, since it is smaller than the sum of its proper divisors (55985005802100).

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

22131111113100 is a wasteful number, since it uses less digits than its factorization.

22131111113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72111861 (or 72111851 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 22131111113100 its reverse (131111113122), we get a palindrome (22262222226222).

The spelling of 22131111113100 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, one hundred".