11000100111 has 96 divisors (see below), whose sum is σ = 20587327488. Its totient is φ = 5131848960.

The previous prime is 11000100107. The next prime is 11000100131. The reversal of 11000100111 is 11100100011.

11000100111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11000100111 - 2² = 11000100107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11000100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000100131) 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 95 ways as a sum of consecutive naturals, for example, 770706 + ... + 784848.

It is an arithmetic number, because the mean of its divisors is an integer number (214451328).

Almost surely, 2^11000100111 is an apocalyptic number.

11000100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000100111 is a deficient number, since it is larger than the sum of its proper divisors (9587227377).

11000100111 is a wasteful number, since it uses less digits than its factorization.

11000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14221 (or 14214 counting only the distinct ones).

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

Adding to 11000100111 its reverse (11100100011), we get a palindrome (22100200122).

It can be divided in two parts, 11000 and 100111, that added together give a palindrome (111111).

The spelling of 11000100111 in words is "eleven billion, one hundred thousand, one hundred eleven".