21120100112000 has 256 divisors, whose sum is σ = 54223482792960. Its totient is φ = 8172541440000.

The previous prime is 21120100111987. The next prime is 21120100112029. The reversal of 21120100112000 is 21100102112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764266015 + ... + 1764277985.

It is an arithmetic number, because the mean of its divisors is an integer number (211810479660).

Almost surely, 2^{21120100112000} is an apocalyptic number.

21120100112000 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 21120100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27111741396480).

21120100112000 is an abundant number, since it is smaller than the sum of its proper divisors (33103382680960).

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

21120100112000 is a wasteful number, since it uses less digits than its factorization.

21120100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15588 (or 15566 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21120100112000 its reverse (21100102112), we get a palindrome (21141200214112).

The spelling of 21120100112000 in words is "twenty-one trillion, one hundred twenty billion, one hundred million, one hundred twelve thousand".