100111001111 has 16 divisors (see below), whose sum is σ = 111705160320. Its totient is φ = 88950205920.

The previous prime is 100111001099. The next prime is 100111001167. The reversal of 100111001111 is 111100111001.

It is not a de Polignac number, because 100111001111 - 2¹⁸ = 100110738967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111021111) 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 15 ways as a sum of consecutive naturals, for example, 333545 + ... + 558098.

It is an arithmetic number, because the mean of its divisors is an integer number (6981572520).

Almost surely, 2^100111001111 is an apocalyptic number.

100111001111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111001111 is a deficient number, since it is larger than the sum of its proper divisors (11594159209).

100111001111 is a wasteful number, since it uses less digits than its factorization.

100111001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891886.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111001111 its reverse (111100111001), we get a palindrome (211211112112).

It can be divided in two parts, 100111001 and 111, that multiplied together give a palindrome (11112321111).

The spelling of 100111001111 in words is "one hundred billion, one hundred eleven million, one thousand, one hundred eleven".