100012113 has 12 divisors (see below), whose sum is σ = 147188340. Its totient is φ = 65416416.

The previous prime is 100012111. The next prime is 100012153. The reversal of 100012113 is 311210001.

It can be written as a sum of positive squares in 2 ways, for example, as 27217089 + 72795024 = 5217^2 + 8532^2 .

It is not a de Polignac number, because 100012113 - 2¹ = 100012111 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100012095 and 100012104.

It is not an unprimeable number, because it can be changed into a prime (100012111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104358 + ... + 105311.

It is an arithmetic number, because the mean of its divisors is an integer number (12265695).

Almost surely, 2^100012113 is an apocalyptic number.

It is an amenable number.

100012113 is a deficient number, since it is larger than the sum of its proper divisors (47176227).

100012113 is a wasteful number, since it uses less digits than its factorization.

100012113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209728 (or 209725 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100012113 is about 10000.6056316605. The cubic root of 100012113 is about 464.1776237931.

Adding to 100012113 its reverse (311210001), we get a palindrome (411222114).

The spelling of 100012113 in words is "one hundred million, twelve thousand, one hundred thirteen".