101110009 has 16 divisors (see below), whose sum is σ = 135757440. Its totient is φ = 72725760.

The previous prime is 101110007. The next prime is 101110013. The reversal of 101110009 is 900011101.

It is a cyclic number.

It is not a de Polignac number, because 101110009 - 2¹ = 101110007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (101110007) 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 15 ways as a sum of consecutive naturals, for example, 49504 + ... + 51505.

It is an arithmetic number, because the mean of its divisors is an integer number (8484840).

Almost surely, 2^101110009 is an apocalyptic number.

It is an amenable number.

101110009 is a deficient number, since it is larger than the sum of its proper divisors (34647431).

101110009 is a wasteful number, since it uses less digits than its factorization.

101110009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101040.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 101110009 is about 10055.3472839082. The cubic root of 101110009 is about 465.8699696147.

The spelling of 101110009 in words is "one hundred one million, one hundred ten thousand, nine".