100131100201 has 16 divisors (see below), whose sum is σ = 109488153600. Its totient is φ = 90816611200.

The previous prime is 100131100193. The next prime is 100131100213. The reversal of 100131100201 is 102001131001.

It is a cyclic number.

It is not a de Polignac number, because 100131100201 - 2³ = 100131100193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100131100241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14899320 + ... + 14906038.

It is an arithmetic number, because the mean of its divisors is an integer number (6843009600).

Almost surely, 2^100131100201 is an apocalyptic number.

100131100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100131100201 is a deficient number, since it is larger than the sum of its proper divisors (9357053399).

100131100201 is a wasteful number, since it uses less digits than its factorization.

100131100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100131100201 its reverse (102001131001), we get a palindrome (202132231202).

The spelling of 100131100201 in words is "one hundred billion, one hundred thirty-one million, one hundred thousand, two hundred one".