201002013302100 has 72 divisors (see below), whose sum is σ = 615775579590528. Its totient is φ = 50447564121600.

The previous prime is 201002013302063. The next prime is 201002013302107. The reversal of 201002013302100 is 1203310200102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201002013302100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002013302107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19706074636 + ... + 19706084835.

It is an arithmetic number, because the mean of its divisors is an integer number (8552438605424).

Almost surely, 2^{201002013302100} is an apocalyptic number.

201002013302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002013302100 is an abundant number, since it is smaller than the sum of its proper divisors (414773566288428).

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

201002013302100 is a wasteful number, since it uses less digits than its factorization.

201002013302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39412159505 (or 39412159498 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201002013302100 its reverse (1203310200102), we get a palindrome (202205323502202).

The spelling of 201002013302100 in words is "two hundred one trillion, two billion, thirteen million, three hundred two thousand, one hundred".