21102200012020 has 288 divisors, whose sum is σ = 50267407680000. Its totient is φ = 7406445957120.

The previous prime is 21102200012017. The next prime is 21102200012063. The reversal of 21102200012020 is 2021000220112.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4728252309 + ... + 4728256771.

It is an arithmetic number, because the mean of its divisors is an integer number (174539610000).

Almost surely, 2^{21102200012020} is an apocalyptic number.

21102200012020 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 21102200012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25133703840000).

21102200012020 is an abundant number, since it is smaller than the sum of its proper divisors (29165207667980).

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

21102200012020 is a wasteful number, since it uses less digits than its factorization.

21102200012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21102200012020 its reverse (2021000220112), we get a palindrome (23123200232132).

The spelling of 21102200012020 in words is "twenty-one trillion, one hundred two billion, two hundred million, twelve thousand, twenty".