21100100100112 has 20 divisors (see below), whose sum is σ = 44597938848336. Its totient is φ = 9590954590880.

The previous prime is 21100100100091. The next prime is 21100100100139.

21100100100112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59943466018 + ... + 59943466369.

Almost surely, 2^{21100100100112} is an apocalyptic number.

21100100100112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21100100100112 is an abundant number, since it is smaller than the sum of its proper divisors (23497838748224).

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

21100100100112 is a wasteful number, since it uses less digits than its factorization.

21100100100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119886932406 (or 119886932400 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 21100100 and 100112, that added together give a palindrome (21200212).

The spelling of 21100100100112 in words is "twenty-one trillion, one hundred billion, one hundred million, one hundred thousand, one hundred twelve".