202221002222100 has 54 divisors (see below), whose sum is σ = 633850496967870. Its totient is φ = 53925600592320.

The previous prime is 202221002222081. The next prime is 202221002222101. The reversal of 202221002222100 is 1222200122202.

202221002222100 is a `hidden beast` number, since 2 + 0 + 22 + 210 + 0 + 222 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4307932709136 + 197913069512964 = 2075556^2 + 14068158^2 .

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 (202221002222101) 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, 112345000335 + ... + 112345002134.

Almost surely, 2^{202221002222100} is an apocalyptic number.

202221002222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221002222100 is an abundant number, since it is smaller than the sum of its proper divisors (431629494745770).

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

202221002222100 is a wasteful number, since it uses less digits than its factorization.

202221002222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224690002489 (or 224690002479 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202221002222100 its reverse (1222200122202), we get a palindrome (203443202344302).

The spelling of 202221002222100 in words is "two hundred two trillion, two hundred twenty-one billion, two million, two hundred twenty-two thousand, one hundred".