100120131 has 14 divisors (see below), whose sum is σ = 150112620. Its totient is φ = 66746268.

The previous prime is 100120091. The next prime is 100120159. The reversal of 100120131 is 131021001.

It is not a de Polignac number, because 100120131 - 2⁶ = 100120067 is a prime.

It is a super-2 number, since 2×100120131² = 20048081262914322, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 67941 + ... + 69398.

It is an arithmetic number, because the mean of its divisors is an integer number (10722330).

Almost surely, 2^100120131 is an apocalyptic number.

100120131 is a deficient number, since it is larger than the sum of its proper divisors (49992489).

100120131 is an frugal number, since it uses more digits than its factorization.

100120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137357 (or 137342 counting only the distinct ones).

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

The square root of 100120131 is about 10006.0047471506. The cubic root of 100120131 is about 464.3446752193.

Adding to 100120131 its reverse (131021001), we get a palindrome (231141132).

The spelling of 100120131 in words is "one hundred million, one hundred twenty thousand, one hundred thirty-one".