101000010001009 has 16 divisors (see below), whose sum is σ = 117323910987520. Its totient is φ = 85150014989760.

The previous prime is 101000010001001. The next prime is 101000010001027. The reversal of 101000010001009 is 900100010000101.

It is not a de Polignac number, because 101000010001009 - 2³ = 101000010001001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101000010001009.

It is not an unprimeable number, because it can be changed into a prime (101000010001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13432972 + ... + 19556194.

It is an arithmetic number, because the mean of its divisors is an integer number (7332744436720).

Almost surely, 2^{101000010001009} is an apocalyptic number.

It is an amenable number.

101000010001009 is a deficient number, since it is larger than the sum of its proper divisors (16323900986511).

101000010001009 is an equidigital number, since it uses as much as digits as its factorization.

101000010001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6161920.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 101000010001009 in words is "one hundred one trillion, ten million, one thousand, nine".