101122222100112 has 60 divisors (see below), whose sum is σ = 283056696235404. Its totient is φ = 33700865802240.

The previous prime is 101122222100111. The next prime is 101122222100173. The reversal of 101122222100112 is 211001222221101.

101122222100112 is a `hidden beast` number, since 10 + 112 + 222 + 210 + 0 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27149768775936 + 73972453324176 = 5210544^2 + 8600724^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101122222100111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67396689 + ... + 68880752.

Almost surely, 2^{101122222100112} is an apocalyptic number.

101122222100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122222100112 is an abundant number, since it is smaller than the sum of its proper divisors (181934474135292).

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

101122222100112 is a wasteful number, since it uses less digits than its factorization.

101122222100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136282608 (or 136282599 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101122222100112 its reverse (211001222221101), we get a palindrome (312123444321213).

The spelling of 101122222100112 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, one hundred twelve".