111000111001 has 16 divisors (see below), whose sum is σ = 121815867600. Its totient is φ = 100510375680.

The previous prime is 111000110993. The next prime is 111000111007. The reversal of 111000111001 is 100111000111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22016624400 + 88983486601 = 148380^2 + 298301^2 .

It is not a de Polignac number, because 111000111001 - 2³ = 111000110993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111000111007) 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, 5190591 + ... + 5211931.

It is an arithmetic number, because the mean of its divisors is an integer number (7613491725).

Almost surely, 2^111000111001 is an apocalyptic number.

It is an amenable number.

111000111001 is a deficient number, since it is larger than the sum of its proper divisors (10815756599).

111000111001 is a wasteful number, since it uses less digits than its factorization.

111000111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28956.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111000111001 its reverse (100111000111), we get a palindrome (211111111112).

The spelling of 111000111001 in words is "one hundred eleven billion, one hundred eleven thousand, one".