100131164101 has 8 divisors (see below), whose sum is σ = 100940866560. Its totient is φ = 99321794208.

The previous prime is 100131164087. The next prime is 100131164117. The reversal of 100131164101 is 101461131001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100131164101 - 2²⁷ = 99996946373 is a prime.

It is a super-2 number, since 2×100131164101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131164141) 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 7 ways as a sum of consecutive naturals, for example, 540270 + ... + 701536.

It is an arithmetic number, because the mean of its divisors is an integer number (12617608320).

Almost surely, 2^100131164101 is an apocalyptic number.

It is an amenable number.

100131164101 is a deficient number, since it is larger than the sum of its proper divisors (809702459).

100131164101 is a wasteful number, since it uses less digits than its factorization.

100131164101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166283.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 100131164101 its reverse (101461131001), we get a palindrome (201592295102).

The spelling of 100131164101 in words is "one hundred billion, one hundred thirty-one million, one hundred sixty-four thousand, one hundred one".