10202002013000 has 64 divisors (see below), whose sum is σ = 27283068259200. Its totient is φ = 3497829259200.

The previous prime is 10202002012991. The next prime is 10202002013003. The reversal of 10202002013000 is 31020020201.

It is a happy number.

10202002013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10202002013003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728707430 + ... + 728721429.

It is an arithmetic number, because the mean of its divisors is an integer number (426297941550).

Almost surely, 2^{10202002013000} is an apocalyptic number.

10202002013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202002013000 is an abundant number, since it is smaller than the sum of its proper divisors (17081066246200).

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

10202002013000 is a wasteful number, since it uses less digits than its factorization.

10202002013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457428887 (or 1457428873 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10202002013000 its reverse (31020020201), we get a palindrome (10233022033201).

The spelling of 10202002013000 in words is "ten trillion, two hundred two billion, two million, thirteen thousand".