111111111101111 has 8 divisors (see below), whose sum is σ = 121212336325248. Its totient is φ = 101009921731000.

The previous prime is 111111111101087. The next prime is 111111111101153. The reversal of 111111111101111 is 111101111111111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111111111101111 - 2¹⁸ = 111111110838967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111111101611) 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 7 ways as a sum of consecutive naturals, for example, 2266235 + ... + 15078396.

It is an arithmetic number, because the mean of its divisors is an integer number (15151542040656).

Almost surely, 2^{111111111101111} is an apocalyptic number.

111111111101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111111111101111 is a deficient number, since it is larger than the sum of its proper divisors (10101225224137).

111111111101111 is a wasteful number, since it uses less digits than its factorization.

111111111101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17927013.

The product of its (nonzero) digits is 1, while the sum is 14.

Adding to 111111111101111 its reverse (111101111111111), we get a palindrome (222212222212222).

It can be divided in two parts, 111111 and 111101111, that multiplied together give a palindrome (12344555544321).

The spelling of 111111111101111 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred one thousand, one hundred eleven".