100312110131101 has 32 divisors (see below), whose sum is σ = 116375000451840. Its totient is φ = 85454175360000.

The previous prime is 100312110131099. The next prime is 100312110131159. The reversal of 100312110131101 is 101131011213001.

It is a cyclic number.

It is not a de Polignac number, because 100312110131101 - 2¹ = 100312110131099 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 (100312110131171) 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, 39279976 + ... + 41755726.

It is an arithmetic number, because the mean of its divisors is an integer number (3636718764120).

Almost surely, 2^{100312110131101} is an apocalyptic number.

100312110131101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100312110131101 is a deficient number, since it is larger than the sum of its proper divisors (16062890320739).

100312110131101 is a wasteful number, since it uses less digits than its factorization.

100312110131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476725.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 100312110131101 its reverse (101131011213001), we get a palindrome (201443121344102).

The spelling of 100312110131101 in words is "one hundred trillion, three hundred twelve billion, one hundred ten million, one hundred thirty-one thousand, one hundred one".