21320111102312 has 128 divisors (see below), whose sum is σ = 46078098480000. Its totient is φ = 9146248151040.

The previous prime is 21320111102291. The next prime is 21320111102327.

21320111102312 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 645089564 + ... + 645122612.

It is an arithmetic number, because the mean of its divisors is an integer number (359985144375).

Almost surely, 2^{21320111102312} is an apocalyptic number.

21320111102312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320111102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23039049240000).

21320111102312 is an abundant number, since it is smaller than the sum of its proper divisors (24757987377688).

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

21320111102312 is a wasteful number, since it uses less digits than its factorization.

21320111102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34531 (or 34527 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 2132011 and 1102312, that added together give a palindrome (3234323).

The spelling of 21320111102312 in words is "twenty-one trillion, three hundred twenty billion, one hundred eleven million, one hundred two thousand, three hundred twelve".