2002013310100 has 36 divisors (see below), whose sum is σ = 4368639139200. Its totient is φ = 796331544160.

The previous prime is 2002013310049. The next prime is 2002013310119. The reversal of 2002013310100 is 10133102002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55904260 + ... + 55940059.

It is an arithmetic number, because the mean of its divisors is an integer number (121351087200).

Almost surely, 2^{2002013310100} is an apocalyptic number.

2002013310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002013310100 is an abundant number, since it is smaller than the sum of its proper divisors (2366625829100).

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

2002013310100 is a wasteful number, since it uses less digits than its factorization.

2002013310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111844512 (or 111844505 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2002013310100 its reverse (10133102002), we get a palindrome (2012146412102).

The spelling of 2002013310100 in words is "two trillion, two billion, thirteen million, three hundred ten thousand, one hundred".