21101111110112 has 48 divisors (see below), whose sum is σ = 46781348995584. Its totient is φ = 9282013680000.

The previous prime is 21101111110097. The next prime is 21101111110151.

21101111110112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966865514 + ... + 966887337.

It is an arithmetic number, because the mean of its divisors is an integer number (974611437408).

Almost surely, 2^{21101111110112} is an apocalyptic number.

21101111110112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21101111110112 is an abundant number, since it is smaller than the sum of its proper divisors (25680237885472).

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

21101111110112 is a wasteful number, since it uses less digits than its factorization.

21101111110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933752903 (or 1933752895 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 2110111 and 1110112, that multiplied together give a palindrome (2342459542432).

The spelling of 21101111110112 in words is "twenty-one trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred twelve".