21233331322100 has 36 divisors (see below), whose sum is σ = 46076547102348. Its totient is φ = 8493292320000.

The previous prime is 21233331322031. The next prime is 21233331322117. The reversal of 21233331322100 is 122313333212.

It can be written as a sum of positive squares in 6 ways, for example, as 4558489743844 + 16674841578256 = 2135062^2 + 4083484^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21233331322100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29838440 + ... + 30541760.

Almost surely, 2^{21233331322100} is an apocalyptic number.

21233331322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233331322100 is an abundant number, since it is smaller than the sum of its proper divisors (24843215780248).

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

21233331322100 is a wasteful number, since it uses less digits than its factorization.

21233331322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005236 (or 1005229 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 21233331322100 its reverse (122313333212), we get a palindrome (21355644655312).

The spelling of 21233331322100 in words is "twenty-one trillion, two hundred thirty-three billion, three hundred thirty-one million, three hundred twenty-two thousand, one hundred".