100201002013 has 32 divisors (see below), whose sum is σ = 121918086144. Its totient is φ = 80391370752.

The previous prime is 100201001963. The next prime is 100201002017. The reversal of 100201002013 is 310200102001.

It is not a de Polignac number, because 100201002013 - 2³³ = 91611067421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201002017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17462881 + ... + 17468617.

It is an arithmetic number, because the mean of its divisors is an integer number (3809940192).

Almost surely, 2^100201002013 is an apocalyptic number.

It is an amenable number.

100201002013 is a deficient number, since it is larger than the sum of its proper divisors (21717084131).

100201002013 is a wasteful number, since it uses less digits than its factorization.

100201002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6541.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100201002013 its reverse (310200102001), we get a palindrome (410401104014).

The spelling of 100201002013 in words is "one hundred billion, two hundred one million, two thousand, thirteen".