101000009 has 12 divisors (see below), whose sum is σ = 117048048. Its totient is φ = 86414400.

The previous prime is 100999993. The next prime is 101000023. The reversal of 101000009 is 900000101.

It is not a de Polignac number, because 101000009 - 2⁴ = 100999993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12707 + ... + 19064.

It is an arithmetic number, because the mean of its divisors is an integer number (9754004).

Almost surely, 2^101000009 is an apocalyptic number.

It is an amenable number.

101000009 is a deficient number, since it is larger than the sum of its proper divisors (16048039).

101000009 is a wasteful number, since it uses less digits than its factorization.

101000009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31816 (or 31799 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 101000009 is about 10049.8760688876. The cubic root of 101000009 is about 465.7009646131.

101000009 divided by its sum of digits (11) gives a palindrome (9181819).

The spelling of 101000009 in words is "one hundred one million, nine", and thus it is an aban number.