202112101212100 has 18 divisors (see below), whose sum is σ = 438583259630474. Its totient is φ = 80844840484800.

The previous prime is 202112101212041. The next prime is 202112101212101. The reversal of 202112101212100 is 1212101211202.

It can be written as a sum of positive squares in 3 ways, for example, as 47322622172736 + 154789479039364 = 6879144^2 + 12441442^2 .

It is not an unprimeable number, because it can be changed into a prime (202112101212101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1010560505961 + ... + 1010560506160.

Almost surely, 2^{202112101212100} is an apocalyptic number.

202112101212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112101212100 is an abundant number, since it is smaller than the sum of its proper divisors (236471158418374).

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

202112101212100 is a wasteful number, since it uses less digits than its factorization.

202112101212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021121012135 (or 2021121012128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202112101212100 its reverse (1212101211202), we get a palindrome (203324202423302).

The spelling of 202112101212100 in words is "two hundred two trillion, one hundred twelve billion, one hundred one million, two hundred twelve thousand, one hundred".