100112222210112 has 224 divisors, whose sum is σ = 354058820659200. Its totient is φ = 27098045047296.

The previous prime is 100112222210087. The next prime is 100112222210129. The reversal of 100112222210112 is 211012222211001.

100112222210112 is a `hidden beast` number, since 10 + 0 + 112 + 222 + 210 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 217572108 + ... + 218031755.

Almost surely, 2^{100112222210112} is an apocalyptic number.

100112222210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100112222210112 is an abundant number, since it is smaller than the sum of its proper divisors (253946598449088).

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

100112222210112 is a wasteful number, since it uses less digits than its factorization.

100112222210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435603910 (or 435603894 counting only the distinct ones).

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

Adding to 100112222210112 its reverse (211012222211001), we get a palindrome (311124444421113).

The spelling of 100112222210112 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, two hundred ten thousand, one hundred twelve".