100310100201 has 12 divisors (see below), whose sum is σ = 145864800900. Its totient is φ = 66424584480.

The previous prime is 100310100179. The next prime is 100310100211. The reversal of 100310100201 is 102001013001.

It can be written as a sum of positive squares in 2 ways, for example, as 19016685801 + 81293414400 = 137901^2 + 285120^2 .

It is not a de Polignac number, because 100310100201 - 2¹⁰ = 100310099177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100310100211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37399890 + ... + 37402571.

It is an arithmetic number, because the mean of its divisors is an integer number (12155400075).

Almost surely, 2^100310100201 is an apocalyptic number.

It is an amenable number.

100310100201 is a deficient number, since it is larger than the sum of its proper divisors (45554700699).

100310100201 is a wasteful number, since it uses less digits than its factorization.

100310100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74802616 (or 74802613 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100310100201 its reverse (102001013001), we get a palindrome (202311113202).

The spelling of 100310100201 in words is "one hundred billion, three hundred ten million, one hundred thousand, two hundred one".