21100211200112 has 40 divisors (see below), whose sum is σ = 44607260480880. Its totient is φ = 9589050938880.

The previous prime is 21100211200087. The next prime is 21100211200177.

21100211200112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11347013 + ... + 13074980.

It is an arithmetic number, because the mean of its divisors is an integer number (1115181512022).

Almost surely, 2^{21100211200112} is an apocalyptic number.

21100211200112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21100211200112 is an abundant number, since it is smaller than the sum of its proper divisors (23507049280768).

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

21100211200112 is a wasteful number, since it uses less digits than its factorization.

21100211200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24426921 (or 24426915 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 2110021 and 1200112, that added together give a palindrome (3310133).

The spelling of 21100211200112 in words is "twenty-one trillion, one hundred billion, two hundred eleven million, two hundred thousand, one hundred twelve".