111101009 has 8 divisors (see below), whose sum is σ = 111825000. Its totient is φ = 110380032.

The previous prime is 111100981. The next prime is 111101033. The reversal of 111101009 is 900101111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14137600 + 96963409 = 3760^2 + 9847^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111101009 - 2⁸ = 111100753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111100984 and 111101002.

It is not an unprimeable number, because it can be changed into a prime (111104009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156347 + ... + 157055.

It is an arithmetic number, because the mean of its divisors is an integer number (13978125).

Almost surely, 2^111101009 is an apocalyptic number.

It is an amenable number.

111101009 is a deficient number, since it is larger than the sum of its proper divisors (723991).

111101009 is an equidigital number, since it uses as much as digits as its factorization.

111101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507.

The product of its (nonzero) digits is 9, while the sum is 14.

The square root of 111101009 is about 10540.4463377980. The cubic root of 111101009 is about 480.7352865621.

The spelling of 111101009 in words is "one hundred eleven million, one hundred one thousand, nine".