202131212200 has 96 divisors (see below), whose sum is σ = 486351963000. Its totient is φ = 78033715200.

The previous prime is 202131212197. The next prime is 202131212209. The reversal of 202131212200 is 2212131202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2877893316 + 199253318884 = 53646^2 + 446378^2 .

It is not an unprimeable number, because it can be changed into a prime (202131212209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19488616 + ... + 19498984.

Almost surely, 2^202131212200 is an apocalyptic number.

202131212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202131212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243175981500).

202131212200 is an abundant number, since it is smaller than the sum of its proper divisors (284220750800).

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

202131212200 is a wasteful number, since it uses less digits than its factorization.

202131212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13775 (or 13766 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 202131212200 its reverse (2212131202), we get a palindrome (204343343402).

The spelling of 202131212200 in words is "two hundred two billion, one hundred thirty-one million, two hundred twelve thousand, two hundred".