202221112022100 has 54 divisors (see below), whose sum is σ = 633850841129870. Its totient is φ = 53925629872320.

The previous prime is 202221112022077. The next prime is 202221112022107. The reversal of 202221112022100 is 1220211122202.

It is a happy number.

202221112022100 is a `hidden beast` number, since 20 + 2 + 221 + 11 + 202 + 210 + 0 = 666.

202221112022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2302848144 + 202218809173956 = 47988^2 + 14220366^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221112022107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112345061335 + ... + 112345063134.

Almost surely, 2^{202221112022100} is an apocalyptic number.

202221112022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221112022100 is an abundant number, since it is smaller than the sum of its proper divisors (431629729107770).

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

202221112022100 is a wasteful number, since it uses less digits than its factorization.

202221112022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224690124489 (or 224690124479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202221112022100 its reverse (1220211122202), we get a palindrome (203441323144302).

The spelling of 202221112022100 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred twelve million, twenty-two thousand, one hundred".