100120311 has 24 divisors (see below), whose sum is σ = 153179520. Its totient is φ = 62883216.

The previous prime is 100120289. The next prime is 100120343. The reversal of 100120311 is 113021001.

It is not a de Polignac number, because 100120311 - 2⁶ = 100120247 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 = 100120293 and 100120302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10260 + ... + 17478.

It is an arithmetic number, because the mean of its divisors is an integer number (6382480).

Almost surely, 2^100120311 is an apocalyptic number.

100120311 is a deficient number, since it is larger than the sum of its proper divisors (53059209).

100120311 is a wasteful number, since it uses less digits than its factorization.

100120311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315 (or 7312 counting only the distinct ones).

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

The square root of 100120311 is about 10006.0137417455. The cubic root of 100120311 is about 464.3449534917.

Adding to 100120311 its reverse (113021001), we get a palindrome (213141312).

It can be divided in two parts, 1001 and 20311, that added together give a palindrome (21312).

The spelling of 100120311 in words is "one hundred million, one hundred twenty thousand, three hundred eleven".