111004101 has 84 divisors (see below), whose sum is σ = 194418468. Its totient is φ = 63078912.

The previous prime is 111004073. The next prime is 111004111. The reversal of 111004101 is 101400111.

It can be written as a sum of positive squares in 6 ways, for example, as 1822500 + 109181601 = 1350^2 + 10449^2 .

It is not a de Polignac number, because 111004101 - 2⁶ = 111004037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111004111) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2094391 + ... + 2094443.

Almost surely, 2^111004101 is an apocalyptic number.

It is an amenable number.

111004101 is a deficient number, since it is larger than the sum of its proper divisors (83414367).

111004101 is an equidigital number, since it uses as much as digits as its factorization.

111004101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 111004101 is about 10535.8483759022. The cubic root of 111004101 is about 480.5954719095.

Adding to 111004101 its reverse (101400111), we get a palindrome (212404212).

The spelling of 111004101 in words is "one hundred eleven million, four thousand, one hundred one".