100010001009 has 8 divisors (see below), whose sum is σ = 133354758240. Its totient is φ = 66669288896.

The previous prime is 100010001001. The next prime is 100010001059. The reversal of 100010001009 is 900100010001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100010001009 - 2³ = 100010001001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010000985 and 100010001003.

It is not an unprimeable number, because it can be changed into a prime (100010001001) 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 7 ways as a sum of consecutive naturals, for example, 953112 + ... + 1052825.

It is an arithmetic number, because the mean of its divisors is an integer number (16669344780).

Almost surely, 2^100010001009 is an apocalyptic number.

It is an amenable number.

100010001009 is a deficient number, since it is larger than the sum of its proper divisors (33344757231).

100010001009 is a wasteful number, since it uses less digits than its factorization.

100010001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022559.

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

The spelling of 100010001009 in words is "one hundred billion, ten million, one thousand, nine".