100011000111 has 48 divisors (see below), whose sum is σ = 151201771392. Its totient is φ = 58712955840.

The previous prime is 100011000097. The next prime is 100011000113. The reversal of 100011000111 is 111000110001.

It is not a de Polignac number, because 100011000111 - 2¹³ = 100010991919 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100011000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011000113) 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 47 ways as a sum of consecutive naturals, for example, 3032436 + ... + 3065238.

It is an arithmetic number, because the mean of its divisors is an integer number (3150036904).

Almost surely, 2^100011000111 is an apocalyptic number.

100011000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100011000111 is a deficient number, since it is larger than the sum of its proper divisors (51190771281).

100011000111 is a wasteful number, since it uses less digits than its factorization.

100011000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33092 (or 33081 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100011000111 its reverse (111000110001), we get a palindrome (211011110112).

It can be divided in two parts, 1000110001 and 11, that multiplied together give a palindrome (11001210011).

The spelling of 100011000111 in words is "one hundred billion, eleven million, one hundred eleven", and thus it is an aban number.