111011111111111 has 16 divisors (see below), whose sum is σ = 117261943077600. Its totient is φ = 104943237815808.

The previous prime is 111011111111083. The next prime is 111011111111119. The reversal of 111011111111111 is 111111111110111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111011111111111 is a prime.

It is a super-3 number, since 3×111011111111111³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

111011111111111 is a modest number, since divided by 11111111 gives 1110111 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111011111111119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191089301 + ... + 191669358.

It is an arithmetic number, because the mean of its divisors is an integer number (7328871442350).

Almost surely, 2^{111011111111111} is an apocalyptic number.

111011111111111 is a deficient number, since it is larger than the sum of its proper divisors (6250831966489).

111011111111111 is a wasteful number, since it uses less digits than its factorization.

111011111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382758898.

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

Adding to 111011111111111 its reverse (111111111110111), we get a palindrome (222122222221222).

It can be divided in two parts, 1110111 and 11111111, that multiplied together give a palindrome (12334566543321).

The spelling of 111011111111111 in words is "one hundred eleven trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".