21223100321100 has 108 divisors (see below), whose sum is σ = 66525293061864. Its totient is φ = 5659266762240.

The previous prime is 21223100321041. The next prime is 21223100321147. The reversal of 21223100321100 is 112300132212.

21223100321100 is a `hidden beast` number, since 2 + 1 + 22 + 310 + 0 + 321 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22640932 + ... + 23559668.

It is an arithmetic number, because the mean of its divisors is an integer number (615974935758).

Almost surely, 2^{21223100321100} is an apocalyptic number.

21223100321100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21223100321100 is an abundant number, since it is smaller than the sum of its proper divisors (45302192740764).

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

21223100321100 is a wasteful number, since it uses less digits than its factorization.

21223100321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944424 (or 944414 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21223100321100 its reverse (112300132212), we get a palindrome (21335400453312).

The spelling of 21223100321100 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred million, three hundred twenty-one thousand, one hundred".