21112010100020 has 288 divisors, whose sum is σ = 55297860710400. Its totient is φ = 6726797328384.

The previous prime is 21112010100019. The next prime is 21112010100029. The reversal of 21112010100020 is 2000101021112.

It is a junction number, because it is equal to n+sod(n) for n = 21112010099974 and 21112010100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112010100029) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 709417901 + ... + 709447659.

It is an arithmetic number, because the mean of its divisors is an integer number (192006460800).

Almost surely, 2^{21112010100020} is an apocalyptic number.

21112010100020 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 21112010100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648930355200).

21112010100020 is an abundant number, since it is smaller than the sum of its proper divisors (34185850610380).

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

21112010100020 is a wasteful number, since it uses less digits than its factorization.

21112010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30335 (or 30326 counting only the distinct ones).

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

Adding to 21112010100020 its reverse (2000101021112), we get a palindrome (23112111121132).

The spelling of 21112010100020 in words is "twenty-one trillion, one hundred twelve billion, ten million, one hundred thousand, twenty".