100100100011112 has 96 divisors (see below), whose sum is σ = 277414648848480. Its totient is φ = 32590089141120.

The previous prime is 100100100011111. The next prime is 100100100011123. The reversal of 100100100011112 is 211110001001001.

100100100011112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100100100011094 and 100100100011103.

It is not an unprimeable number, because it can be changed into a prime (100100100011111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172209687 + ... + 172789977.

It is an arithmetic number, because the mean of its divisors is an integer number (2889735925505).

Almost surely, 2^{100100100011112} is an apocalyptic number.

100100100011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100100011112 is an abundant number, since it is smaller than the sum of its proper divisors (177314548837368).

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

100100100011112 is a wasteful number, since it uses less digits than its factorization.

100100100011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636063 (or 636056 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100100100011112 its reverse (211110001001001), we get a palindrome (311210101012113).

The spelling of 100100100011112 in words is "one hundred trillion, one hundred billion, one hundred million, eleven thousand, one hundred twelve".