100113111 has 32 divisors (see below), whose sum is σ = 170035200. Its totient is φ = 57028320.

The previous prime is 100113067. The next prime is 100113173. The reversal of 100113111 is 111311001.

It is not a de Polignac number, because 100113111 - 2⁶ = 100113047 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 = 100113093 and 100113102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80845 + ... + 82073.

It is an arithmetic number, because the mean of its divisors is an integer number (5313600).

Almost surely, 2^100113111 is an apocalyptic number.

100113111 is a deficient number, since it is larger than the sum of its proper divisors (69922089).

100113111 is a wasteful number, since it uses less digits than its factorization.

100113111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 100113111 is about 10005.6539516415. The cubic root of 100113111 is about 464.3338223376. Note that the first 3 decimals are identical.

Adding to 100113111 its reverse (111311001), we get a palindrome (211424112).

The spelling of 100113111 in words is "one hundred million, one hundred thirteen thousand, one hundred eleven".