21102432324200 has 96 divisors (see below), whose sum is σ = 49751734148760. Its totient is φ = 8322584371200.

The previous prime is 21102432324199. The next prime is 21102432324247. The reversal of 21102432324200 is 242323420112.

It can be written as a sum of positive squares in 12 ways, for example, as 4547445360676 + 16554986963524 = 2132474^2 + 4068782^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21102432324200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44102240 + ... + 44578160.

Almost surely, 2^{21102432324200} is an apocalyptic number.

21102432324200 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 21102432324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24875867074380).

21102432324200 is an abundant number, since it is smaller than the sum of its proper divisors (28649301824560).

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

21102432324200 is a wasteful number, since it uses less digits than its factorization.

21102432324200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479047 (or 479038 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 21102432324200 its reverse (242323420112), we get a palindrome (21344755744312).

The spelling of 21102432324200 in words is "twenty-one trillion, one hundred two billion, four hundred thirty-two million, three hundred twenty-four thousand, two hundred".