202100221101200 has 60 divisors (see below), whose sum is σ = 485686563224100. Its totient is φ = 80816649185280.

The previous prime is 202100221101167. The next prime is 202100221101293. The reversal of 202100221101200 is 2101122001202.

It can be written as a sum of positive squares in 6 ways, for example, as 112209191437456 + 89891029663744 = 10592884^2 + 9481088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71866349 + ... + 74625548.

It is an arithmetic number, because the mean of its divisors is an integer number (8094776053735).

Almost surely, 2^{202100221101200} is an apocalyptic number.

202100221101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100221101200 is an abundant number, since it is smaller than the sum of its proper divisors (283586342122900).

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

202100221101200 is a wasteful number, since it uses less digits than its factorization.

202100221101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146495364 (or 146495353 counting only the distinct ones).

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

Adding to 202100221101200 its reverse (2101122001202), we get a palindrome (204201343102402).

The spelling of 202100221101200 in words is "two hundred two trillion, one hundred billion, two hundred twenty-one million, one hundred one thousand, two hundred".