202100101200 has 90 divisors (see below), whose sum is σ = 701343502574. Its totient is φ = 53893359360.

The previous prime is 202100101171. The next prime is 202100101213. The reversal of 202100101200 is 2101001202.

It can be written as a sum of positive squares in 3 ways, for example, as 538611264 + 201561489936 = 23208^2 + 448956^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28065859 + ... + 28073058.

Almost surely, 2^202100101200 is an apocalyptic number.

202100101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100101200 is an abundant number, since it is smaller than the sum of its proper divisors (499243401374).

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

202100101200 is a wasteful number, since it uses less digits than its factorization.

202100101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56138941 (or 56138927 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202100101200 its reverse (2101001202), we get a palindrome (204201102402).

The spelling of 202100101200 in words is "two hundred two billion, one hundred million, one hundred one thousand, two hundred".