11101111110111 has 64 divisors (see below), whose sum is σ = 16933373047296. Its totient is φ = 6409302681600.

The previous prime is 11101111110109. The next prime is 11101111110119.

11101111110111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11101111110111 - 2¹ = 11101111110109 is a prime.

11101111110111 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101111110119) 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 63 ways as a sum of consecutive naturals, for example, 11756676 + ... + 12665766.

It is an arithmetic number, because the mean of its divisors is an integer number (264583953864).

Almost surely, 2^{11101111110111} is an apocalyptic number.

11101111110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101111110111 is a deficient number, since it is larger than the sum of its proper divisors (5832261937185).

11101111110111 is a wasteful number, since it uses less digits than its factorization.

11101111110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909352.

The product of its (nonzero) digits is 1, while the sum is 12.

It can be divided in two parts, 1110111 and 1110111, that added together give a palindrome (2220222).

The spelling of 11101111110111 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred eleven".