20100021102000 has 320 divisors, whose sum is σ = 82288849843200. Its totient is φ = 4594290451200.

The previous prime is 20100021101917. The next prime is 20100021102061. The reversal of 20100021102000 is 20112000102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26209330 + ... + 26965329.

It is an arithmetic number, because the mean of its divisors is an integer number (257152655760).

Almost surely, 2^{20100021102000} is an apocalyptic number.

20100021102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100021102000 is an abundant number, since it is smaller than the sum of its proper divisors (62188828741200).

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

20100021102000 is a wasteful number, since it uses less digits than its factorization.

20100021102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53174698 (or 53174676 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100021102000 its reverse (20112000102), we get a palindrome (20120133102102).

The spelling of 20100021102000 in words is "twenty trillion, one hundred billion, twenty-one million, one hundred two thousand".