21021100112012 has 384 divisors, whose sum is σ = 50352243701760. Its totient is φ = 7414944768000.

The previous prime is 21021100111997. The next prime is 21021100112041.

21021100112012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22197570923 + ... + 22197571869.

It is an arithmetic number, because the mean of its divisors is an integer number (131125634640).

Almost surely, 2^{21021100112012} is an apocalyptic number.

21021100112012 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 21021100112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25176121850880).

21021100112012 is an abundant number, since it is smaller than the sum of its proper divisors (29331143589748).

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

21021100112012 is a wasteful number, since it uses less digits than its factorization.

21021100112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 21021100 and 112012, that added together give a palindrome (21133112).

The spelling of 21021100112012 in words is "twenty-one trillion, twenty-one billion, one hundred million, one hundred twelve thousand, twelve".