21022100112100 has 72 divisors (see below), whose sum is σ = 47622172485888. Its totient is φ = 8039719353600.

The previous prime is 21022100112017. The next prime is 21022100112241. The reversal of 21022100112100 is 121100122012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3261840 + ... + 7258360.

It is an arithmetic number, because the mean of its divisors is an integer number (661419062304).

Almost surely, 2^{21022100112100} is an apocalyptic number.

21022100112100 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 21022100112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23811086242944).

21022100112100 is an abundant number, since it is smaller than the sum of its proper divisors (26600072373788).

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

21022100112100 is a wasteful number, since it uses less digits than its factorization.

21022100112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998845 (or 3998838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21022100112100 its reverse (121100122012), we get a palindrome (21143200234112).

It can be divided in two parts, 210221001 and 12100, that multiplied together give a square (2543674112100 = 1594890²).

The spelling of 21022100112100 in words is "twenty-one trillion, twenty-two billion, one hundred million, one hundred twelve thousand, one hundred".