21010332322100 has 216 divisors, whose sum is σ = 53355118975704. Its totient is φ = 7150961664000.

The previous prime is 21010332322093. The next prime is 21010332322103. The reversal of 21010332322100 is 122323301012.

It can be written as a sum of positive squares in 12 ways, for example, as 14360143512484 + 6650188809616 = 3789478^2 + 2578796^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010332322103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36949544 + ... + 37513856.

Almost surely, 2^{21010332322100} is an apocalyptic number.

21010332322100 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 21010332322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26677559487852).

21010332322100 is an abundant number, since it is smaller than the sum of its proper divisors (32344786653604).

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

21010332322100 is a wasteful number, since it uses less digits than its factorization.

21010332322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564547 (or 564529 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21010332322100 its reverse (122323301012), we get a palindrome (21132655623112).

The spelling of 21010332322100 in words is "twenty-one trillion, ten billion, three hundred thirty-two million, three hundred twenty-two thousand, one hundred".