111111201121 has 16 divisors (see below), whose sum is σ = 113533650000. Its totient is φ = 108701319168.

The previous prime is 111111201049. The next prime is 111111201163. The reversal of 111111201121 is 121102111111.

It can be written as a sum of positive squares in 8 ways, for example, as 38146386721 + 72964814400 = 195311^2 + 270120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111111201121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111111208121) 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, 38194215 + ... + 38197123.

It is an arithmetic number, because the mean of its divisors is an integer number (7095853125).

Almost surely, 2^111111201121 is an apocalyptic number.

It is an amenable number.

111111201121 is a deficient number, since it is larger than the sum of its proper divisors (2422448879).

111111201121 is a wasteful number, since it uses less digits than its factorization.

111111201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111111201121 its reverse (121102111111), we get a palindrome (232213312232).

The spelling of 111111201121 in words is "one hundred eleven billion, one hundred eleven million, two hundred one thousand, one hundred twenty-one".