111111111111 has 128 divisors (see below), whose sum is σ = 206331697152. Its totient is φ = 51321600000.

The previous prime is 111111111103. The next prime is 111111111149.

111111111111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111111111111 - 2³ = 111111111103 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

111111111111 is a strobogrammatic number because it is the same when read upside-down.

111111111111 is a modest number, since divided by 1111111 gives 11111 as remainder.

111111111111 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111111101) by changing a digit.

It is a nontrivial repunit in base 10.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11217261 + ... + 11227161.

It is an arithmetic number, because the mean of its divisors is an integer number (1611966384).

Almost surely, 2^111111111111 is an apocalyptic number.

111111111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111111111111 is a deficient number, since it is larger than the sum of its proper divisors (95220586041).

111111111111 is a wasteful number, since it uses less digits than its factorization.

111111111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073.

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

It can be divided in two parts, 1111111111 and 11, that multiplied together give a palindrome (12222222221).

The spelling of 111111111111 in words is "one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".