10100001009 has 32 divisors (see below), whose sum is σ = 15532425216. Its totient is φ = 5718323520.

The previous prime is 10100001001. The next prime is 10100001059. The reversal of 10100001009 is 90010000101.

It is not a de Polignac number, because 10100001009 - 2³ = 10100001001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100000985 and 10100001003.

It is not an unprimeable number, because it can be changed into a prime (10100001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427559 + ... + 2431715.

It is an arithmetic number, because the mean of its divisors is an integer number (485388288).

Almost surely, 2^10100001009 is an apocalyptic number.

It is an amenable number.

10100001009 is a deficient number, since it is larger than the sum of its proper divisors (5432424207).

10100001009 is a wasteful number, since it uses less digits than its factorization.

10100001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205.

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

The spelling of 10100001009 in words is "ten billion, one hundred million, one thousand, nine".