21121111112112 has 60 divisors (see below), whose sum is σ = 64483392263784. Its totient is φ = 6400336700160.

The previous prime is 21121111112051. The next prime is 21121111112191.

21121111112112 is a `hidden beast` number, since 211 + 211 + 111 + 121 + 12 = 666.

21121111112112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21121111112112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6667015813 + ... + 6667018980.

Almost surely, 2^{21121111112112} is an apocalyptic number.

21121111112112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21121111112112 is an abundant number, since it is smaller than the sum of its proper divisors (43362281151672).

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

21121111112112 is a wasteful number, since it uses less digits than its factorization.

21121111112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334034818 (or 13334034809 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

It can be divided in two parts, 2112111 and 1112112, that added together give a palindrome (3224223).

The spelling of 21121111112112 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".