21111111111112 has 32 divisors (see below), whose sum is σ = 43182998510400. Its totient is φ = 9595697300800.

The previous prime is 21111111111049. The next prime is 21111111111113.

21111111111112 is nontrivially palindromic in base 10.

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 not an unprimeable number, because it can be changed into a prime (21111111111113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22687 + ... + 6497902.

It is an arithmetic number, because the mean of its divisors is an integer number (1349468703450).

Almost surely, 2^{21111111111112} is an apocalyptic number.

21111111111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21111111111112 is an abundant number, since it is smaller than the sum of its proper divisors (22071887399288).

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

21111111111112 is a wasteful number, since it uses less digits than its factorization.

21111111111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557397 (or 6557393 counting only the distinct ones).

The product of its digits is 4, while the sum is 16.

It can be divided in two parts, 2111111 and 1111112, that added together give a palindrome (3222223).

The spelling of 21111111111112 in words is "twenty-one trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twelve".