21202112112100 has 144 divisors (see below), whose sum is σ = 47600608366080. Its totient is φ = 8191951488000.

The previous prime is 21202112112079. The next prime is 21202112112113. The reversal of 21202112112100 is 121121120212.

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, 374772616 + ... + 374829184.

It is an arithmetic number, because the mean of its divisors is an integer number (330559780320).

Almost surely, 2^{21202112112100} is an apocalyptic number.

21202112112100 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 21202112112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23800304183040).

21202112112100 is an abundant number, since it is smaller than the sum of its proper divisors (26398496253980).

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

21202112112100 is a wasteful number, since it uses less digits than its factorization.

21202112112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57590 (or 57583 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21202112112100 its reverse (121121120212), we get a palindrome (21323233232312).

The spelling of 21202112112100 in words is "twenty-one trillion, two hundred two billion, one hundred twelve million, one hundred twelve thousand, one hundred".