101010000001009 has 4 divisors (see below), whose sum is σ = 110192727273840. Its totient is φ = 91827272728180.

The previous prime is 101010000001007. The next prime is 101010000001033. The reversal of 101010000001009 is 900100000010101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 101010000001009 - 2¹ = 101010000001007 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 101010000001009.

It is not an unprimeable number, because it can be changed into a prime (101010000001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4591363636399 + ... + 4591363636420.

It is an arithmetic number, because the mean of its divisors is an integer number (27548181818460).

Almost surely, 2^{101010000001009} is an apocalyptic number.

It is an amenable number.

101010000001009 is a deficient number, since it is larger than the sum of its proper divisors (9182727272831).

101010000001009 is an equidigital number, since it uses as much as digits as its factorization.

101010000001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182727272830.

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

The spelling of 101010000001009 in words is "one hundred one trillion, ten billion, one thousand, nine".