100100001009 has 8 divisors (see below), whose sum is σ = 133622045920. Its totient is φ = 66655645056.

The previous prime is 100100000993. The next prime is 100100001031. The reversal of 100100001009 is 900100001001.

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

It is not a de Polignac number, because 100100001009 - 2⁴ = 100100000993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100000985 and 100100001003.

It is not an unprimeable number, because it can be changed into a prime (100100001509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19419232 + ... + 19424385.

It is an arithmetic number, because the mean of its divisors is an integer number (16702755740).

Almost surely, 2^100100001009 is an apocalyptic number.

It is an amenable number.

100100001009 is a deficient number, since it is larger than the sum of its proper divisors (33522044911).

100100001009 is an equidigital number, since it uses as much as digits as its factorization.

100100001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38844479.

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

The spelling of 100100001009 in words is "one hundred billion, one hundred million, one thousand, nine".