101010100000009 has 4 divisors (see below), whose sum is σ = 101011082720004. Its totient is φ = 101009117280016.

The previous prime is 101010099999983. The next prime is 101010100000081. The reversal of 101010100000009 is 900000001010101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 21576285120784 + 79433814879225 = 4645028^2 + 8912565^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010100000009 - 2⁷ = 101010099999881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101010100000109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 491205802 + ... + 491411395.

It is an arithmetic number, because the mean of its divisors is an integer number (25252770680001).

Almost surely, 2^{101010100000009} is an apocalyptic number.

It is an amenable number.

101010100000009 is a deficient number, since it is larger than the sum of its proper divisors (982719995).

101010100000009 is an equidigital number, since it uses as much as digits as its factorization.

101010100000009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982719994.

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

The spelling of 101010100000009 in words is "one hundred one trillion, ten billion, one hundred million, nine", and thus it is an aban number.