10000010010109 has 24 divisors (see below), whose sum is σ = 11917630991448. Its totient is φ = 8363249032320.

The previous prime is 10000010010083. The next prime is 10000010010131. The reversal of 10000010010109 is 90101001000001.

It can be written as a sum of positive squares in 4 ways, for example, as 241102604484 + 9758907405625 = 491022^2 + 3123925^2 .

It is not a de Polignac number, because 10000010010109 - 2⁷ = 10000010009981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000010010509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10166962 + ... + 11107075.

It is an arithmetic number, because the mean of its divisors is an integer number (496567957977).

Almost surely, 2^{10000010010109} is an apocalyptic number.

It is an amenable number.

10000010010109 is a deficient number, since it is larger than the sum of its proper divisors (1917620981339).

10000010010109 is a wasteful number, since it uses less digits than its factorization.

10000010010109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21274285 (or 21274278 counting only the distinct ones).

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

The spelling of 10000010010109 in words is "ten trillion, ten million, ten thousand, one hundred nine".