100001001009 has 64 divisors (see below), whose sum is σ = 169184784384. Its totient is φ = 51125665536.

The previous prime is 100001000999. The next prime is 100001001011. The reversal of 100001001009 is 900100100001.

It is not a de Polignac number, because 100001001009 - 2⁹ = 100001000497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001000985 and 100001001003.

It is not an unprimeable number, because it can be changed into a prime (100001001019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2637742 + ... + 2675384.

It is an arithmetic number, because the mean of its divisors is an integer number (2643512256).

Almost surely, 2^100001001009 is an apocalyptic number.

It is an amenable number.

100001001009 is a deficient number, since it is larger than the sum of its proper divisors (69183783375).

100001001009 is a wasteful number, since it uses less digits than its factorization.

100001001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37966.

The product of its (nonzero) digits is 9, while the sum is 12.

The spelling of 100001001009 in words is "one hundred billion, one million, one thousand, nine".