11011111100111 has 4 divisors (see below), whose sum is σ = 11011117870152. Its totient is φ = 11011104330072.

The previous prime is 11011111100069. The next prime is 11011111100147. The reversal of 11011111100111 is 11100111111011.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 11011111100111 - 2¹⁴ = 11011111083727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011111100092 and 11011111100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011111100191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 689360 + ... + 4743146.

It is an arithmetic number, because the mean of its divisors is an integer number (2752779467538).

Almost surely, 2^{11011111100111} is an apocalyptic number.

11011111100111 is a deficient number, since it is larger than the sum of its proper divisors (6770041).

11011111100111 is an equidigital number, since it uses as much as digits as its factorization.

11011111100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770040.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 11011111100111 its reverse (11100111111011), we get a palindrome (22111222211122).

The spelling of 11011111100111 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred thousand, one hundred eleven".