11100001100111 has 32 divisors (see below), whose sum is σ = 14656158766080. Its totient is φ = 8138821824000.

The previous prime is 11100001100093. The next prime is 11100001100117. The reversal of 11100001100111 is 11100110000111.

It is a de Polignac number, because none of the positive numbers 2^k-11100001100111 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100001100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5218661 + ... + 7030961.

It is an arithmetic number, because the mean of its divisors is an integer number (458004961440).

Almost surely, 2^{11100001100111} is an apocalyptic number.

11100001100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11100001100111 is a deficient number, since it is larger than the sum of its proper divisors (3556157665969).

11100001100111 is a wasteful number, since it uses less digits than its factorization.

11100001100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817015.

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

Adding to 11100001100111 its reverse (11100110000111), we get a palindrome (22200111100222).

The spelling of 11100001100111 in words is "eleven trillion, one hundred billion, one million, one hundred thousand, one hundred eleven".