11101110111 has 72 divisors (see below), whose sum is σ = 20285157984. Its totient is φ = 5696697600.

The previous prime is 11101110091. The next prime is 11101110121.

11101110111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11101110111 - 2⁶ = 11101110047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

11101110111 is a strobogrammatic number because it is the same when read upside-down.

11101110111 is a modest number, since divided by 1110111 gives 111 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11101110093 and 11101110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101110121) 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 71 ways as a sum of consecutive naturals, for example, 1116261 + ... + 1126161.

Almost surely, 2^11101110111 is an apocalyptic number.

11101110111 is a deficient number, since it is larger than the sum of its proper divisors (9184047873).

11101110111 is a wasteful number, since it uses less digits than its factorization.

11101110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

The spelling of 11101110111 in words is "eleven billion, one hundred one million, one hundred ten thousand, one hundred eleven".