21102223112000 has 112 divisors (see below), whose sum is σ = 52265273645520. Its totient is φ = 8439981824000.

The previous prime is 21102223111997. The next prime is 21102223112017. The reversal of 21102223112000 is 21132220112.

It can be written as a sum of positive squares in 8 ways, for example, as 23252590144 + 21078970521856 = 152488^2 + 4591184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21102223112000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76895030 + ... + 77168970.

Almost surely, 2^{21102223112000} is an apocalyptic number.

21102223112000 is a gapful number since it is divisible by the number (20) 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 21102223112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26132636822760).

21102223112000 is an abundant number, since it is smaller than the sum of its proper divisors (31163050533520).

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

21102223112000 is an equidigital number, since it uses as much as digits as its factorization.

21102223112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283597 (or 283577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21102223112000 its reverse (21132220112), we get a palindrome (21123355332112).

The spelling of 21102223112000 in words is "twenty-one trillion, one hundred two billion, two hundred twenty-three million, one hundred twelve thousand".