100000000009 has 32 divisors (see below), whose sum is σ = 125474469120. Its totient is φ = 77581400832.

The previous prime is 100000000003. The next prime is 100000000019. The reversal of 100000000009 is 900000000001.

It is a happy number.

It is not a de Polignac number, because 100000000009 - 2⁵ = 99999999977 is a prime.

100000000009 is a modest number, since divided by 9 gives 1 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 99999999923 and 100000000004.

It is not an unprimeable number, because it can be changed into a prime (100000000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9539479 + ... + 9549955.

It is an arithmetic number, because the mean of its divisors is an integer number (3921077160).

Almost surely, 2^100000000009 is an apocalyptic number.

It is an amenable number.

100000000009 is a deficient number, since it is larger than the sum of its proper divisors (25474469111).

100000000009 is a wasteful number, since it uses less digits than its factorization.

100000000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12529.

The product of its (nonzero) digits is 9, while the sum is 10.

Subtracting from 100000000009 its sum of digits (10), we obtain a palindrome (99999999999).

It can be divided in two parts, 10000000000 and 9, that multiplied together give a square (90000000000 = 300000²).

The spelling of 100000000009 in words is "one hundred billion, nine", and thus it is an aban number.