1000101010009 has 16 divisors (see below), whose sum is σ = 1061416535040. Its totient is φ = 939064322560.

The previous prime is 1000101009983. The next prime is 1000101010021. The reversal of 1000101010009 is 9000101010001.

It is a cyclic number.

It is not a de Polignac number, because 1000101010009 - 2¹⁷ = 1000100878937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000101010039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12489072 + ... + 12568894.

It is an arithmetic number, because the mean of its divisors is an integer number (66338533440).

Almost surely, 2^{1000101010009} is an apocalyptic number.

It is an amenable number.

1000101010009 is a deficient number, since it is larger than the sum of its proper divisors (61315525031).

1000101010009 is an equidigital number, since it uses as much as digits as its factorization.

1000101010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81560.

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

The spelling of 1000101010009 in words is "one trillion, one hundred one million, ten thousand, nine".