202100314000 has 80 divisors (see below), whose sum is σ = 526269285360. Its totient is φ = 74621644800.

The previous prime is 202100313953. The next prime is 202100314021. The reversal of 202100314000 is 413001202.

It can be written as a sum of positive squares in 8 ways, for example, as 139326013696 + 62774300304 = 373264^2 + 250548^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3860545 + ... + 3912544.

It is an arithmetic number, because the mean of its divisors is an integer number (6578366067).

Almost surely, 2^202100314000 is an apocalyptic number.

202100314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100314000 is an abundant number, since it is smaller than the sum of its proper divisors (324168971360).

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

202100314000 is a wasteful number, since it uses less digits than its factorization.

202100314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7773125 (or 7773109 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 202100314000 its reverse (413001202), we get a palindrome (202513315202).

The spelling of 202100314000 in words is "two hundred two billion, one hundred million, three hundred fourteen thousand".