100112123131 has 16 divisors (see below), whose sum is σ = 105189894144. Its totient is φ = 95197253184.

The previous prime is 100112123119. The next prime is 100112123171. The reversal of 100112123131 is 131321211001.

It is a happy number.

It is not a de Polignac number, because 100112123131 - 2²¹ = 100110025979 is a prime.

It is a super-2 number, since 2×100112123131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112123171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12126 + ... + 447628.

It is an arithmetic number, because the mean of its divisors is an integer number (6574368384).

Almost surely, 2^100112123131 is an apocalyptic number.

100112123131 is a deficient number, since it is larger than the sum of its proper divisors (5077771013).

100112123131 is an equidigital number, since it uses as much as digits as its factorization.

100112123131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435690.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100112123131 its reverse (131321211001), we get a palindrome (231433334132).

The spelling of 100112123131 in words is "one hundred billion, one hundred twelve million, one hundred twenty-three thousand, one hundred thirty-one".