1111111112111 has 64 divisors (see below), whose sum is σ = 1582076676096. Its totient is φ = 751008153600.

The previous prime is 1111111112099. The next prime is 1111111112141. The reversal of 1111111112111 is 1112111111111.

It is a cyclic number.

It is not a de Polignac number, because 1111111112111 - 2¹⁰ = 1111111111087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111111112141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10856966 + ... + 10958828.

It is an arithmetic number, because the mean of its divisors is an integer number (24719948064).

Almost surely, 2^{1111111112111} is an apocalyptic number.

1111111112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1111111112111 is a deficient number, since it is larger than the sum of its proper divisors (470965563985).

1111111112111 is a wasteful number, since it uses less digits than its factorization.

1111111112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102552.

The product of its digits is 2, while the sum is 14.

Adding to 1111111112111 its reverse (1112111111111), we get a palindrome (2223222223222).

It can be divided in two parts, 111111 and 1112111, that multiplied together give a palindrome (123567765321).

The spelling of 1111111112111 in words is "one trillion, one hundred eleven billion, one hundred eleven million, one hundred twelve thousand, one hundred eleven".