120100113 has 48 divisors (see below), whose sum is σ = 206926720. Its totient is φ = 65691648.

The previous prime is 120100103. The next prime is 120100139. The reversal of 120100113 is 311001021.

It is not a de Polignac number, because 120100113 - 2⁵ = 120100081 is a prime.

It is a super-2 number, since 2×120100113² = 28848074285225538, which contains 22 as substring.

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 = 120100095 and 120100104.

It is not an unprimeable number, because it can be changed into a prime (120100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155793 + ... + 156561.

Almost surely, 2^120100113 is an apocalyptic number.

It is an amenable number.

120100113 is a deficient number, since it is larger than the sum of its proper divisors (86826607).

120100113 is a wasteful number, since it uses less digits than its factorization.

120100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 883 counting only the distinct ones).

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

The square root of 120100113 is about 10959.0197098098. The cubic root of 120100113 is about 493.3795433441.

Adding to 120100113 its reverse (311001021), we get a palindrome (431101134).

The spelling of 120100113 in words is "one hundred twenty million, one hundred thousand, one hundred thirteen".