202202112101100 has 72 divisors (see below), whose sum is σ = 619452117558288. Its totient is φ = 50748765388800.

The previous prime is 202202112101081. The next prime is 202202112101113. The reversal of 202202112101100 is 1101211202202.

It is a super-2 number, since 2×202202112101100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202202112101100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19823731381 + ... + 19823741580.

It is an arithmetic number, because the mean of its divisors is an integer number (8603501632754).

Almost surely, 2^{202202112101100} is an apocalyptic number.

202202112101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202112101100 is an abundant number, since it is smaller than the sum of its proper divisors (417250005457188).

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

202202112101100 is a wasteful number, since it uses less digits than its factorization.

202202112101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39647472995 (or 39647472988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202202112101100 its reverse (1101211202202), we get a palindrome (203303323303302).

The spelling of 202202112101100 in words is "two hundred two trillion, two hundred two billion, one hundred twelve million, one hundred one thousand, one hundred".