100131100101 has 20 divisors (see below), whose sum is σ = 149815683424. Its totient is φ = 66648241800.

The previous prime is 100131100079. The next prime is 100131100123. The reversal of 100131100101 is 101001131001.

It is an interprime number because it is at equal distance from previous prime (100131100079) and next prime (100131100123).

It is not a de Polignac number, because 100131100101 - 2²¹ = 100129002949 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131102101) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 928435 + ... + 1030656.

Almost surely, 2^100131100101 is an apocalyptic number.

It is an amenable number.

100131100101 is a deficient number, since it is larger than the sum of its proper divisors (49684583323).

100131100101 is an equidigital number, since it uses as much as digits as its factorization.

100131100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959734 (or 1959725 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100131100101 its reverse (101001131001), we get a palindrome (201132231102).

The spelling of 100131100101 in words is "one hundred billion, one hundred thirty-one million, one hundred thousand, one hundred one".