202100212100 has 36 divisors (see below), whose sum is σ = 443485091700. Its totient is φ = 79931765760.

The previous prime is 202100212087. The next prime is 202100212109. The reversal of 202100212100 is 1212001202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37692669316 + 164407542784 = 194146^2 + 405472^2 .

It is not an unprimeable number, because it can be changed into a prime (202100212109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11345045 + ... + 11362844.

It is an arithmetic number, because the mean of its divisors is an integer number (12319030325).

Almost surely, 2^202100212100 is an apocalyptic number.

202100212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100212100 is an abundant number, since it is smaller than the sum of its proper divisors (241384879600).

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

202100212100 is a wasteful number, since it uses less digits than its factorization.

202100212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22707992 (or 22707985 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202100212100 its reverse (1212001202), we get a palindrome (203312213302).

The spelling of 202100212100 in words is "two hundred two billion, one hundred million, two hundred twelve thousand, one hundred".