21200222110100 has 144 divisors (see below), whose sum is σ = 50845029043200. Its totient is φ = 7608135600000.

The previous prime is 21200222110087. The next prime is 21200222110201. The reversal of 21200222110100 is 101122200212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195557711 + ... + 195666089.

Almost surely, 2^{21200222110100} is an apocalyptic number.

21200222110100 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 21200222110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25422514521600).

21200222110100 is an abundant number, since it is smaller than the sum of its proper divisors (29644806933100).

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

21200222110100 is a wasteful number, since it uses less digits than its factorization.

21200222110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110734 (or 110727 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21200222110100 its reverse (101122200212), we get a palindrome (21301344310312).

The spelling of 21200222110100 in words is "twenty-one trillion, two hundred billion, two hundred twenty-two million, one hundred ten thousand, one hundred".