20100221121100 has 72 divisors (see below), whose sum is σ = 46185597995040. Its totient is φ = 7566751441920.

The previous prime is 20100221121073. The next prime is 20100221121109. The reversal of 20100221121100 is 112112200102.

It is a super-2 number, since 2×20100221121100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20100221121109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33754137 + ... + 34344463.

It is an arithmetic number, because the mean of its divisors is an integer number (641466638820).

Almost surely, 2^{20100221121100} is an apocalyptic number.

20100221121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100221121100 is an abundant number, since it is smaller than the sum of its proper divisors (26085376873940).

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

20100221121100 is a wasteful number, since it uses less digits than its factorization.

20100221121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610387 (or 610380 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20100221121100 its reverse (112112200102), we get a palindrome (20212333321202).

The spelling of 20100221121100 in words is "twenty trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".