10010101000009 has 32 divisors (see below), whose sum is σ = 11152842180480. Its totient is φ = 8908048742400.

The previous prime is 10010100999971. The next prime is 10010101000021. The reversal of 10010101000009 is 90000010101001.

It is a cyclic number.

It is not a de Polignac number, because 10010101000009 - 2¹⁵ = 10010100967241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010101000069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000104997 + ... + 1000115005.

It is an arithmetic number, because the mean of its divisors is an integer number (348526318140).

Almost surely, 2^{10010101000009} is an apocalyptic number.

It is an amenable number.

10010101000009 is a deficient number, since it is larger than the sum of its proper divisors (1142741180471).

10010101000009 is a wasteful number, since it uses less digits than its factorization.

10010101000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19321.

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

The spelling of 10010101000009 in words is "ten trillion, ten billion, one hundred one million, nine", and thus it is an aban number.