21132331100 has 144 divisors (see below), whose sum is σ = 50365276416. Its totient is φ = 7661568000.

The previous prime is 21132331093. The next prime is 21132331127. The reversal of 21132331100 is 113323112.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12278240 + ... + 12279960.

It is an arithmetic number, because the mean of its divisors is an integer number (349758864).

Almost surely, 2^21132331100 is an apocalyptic number.

21132331100 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 21132331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25182638208).

21132331100 is an abundant number, since it is smaller than the sum of its proper divisors (29232945316).

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

21132331100 is a wasteful number, since it uses less digits than its factorization.

21132331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 21132331100 its reverse (113323112), we get a palindrome (21245654212).

The spelling of 21132331100 in words is "twenty-one billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred".