1010000010109 has 8 divisors (see below), whose sum is σ = 1013268799800. Its totient is φ = 1006731488256.

The previous prime is 1010000010079. The next prime is 1010000010133. The reversal of 1010000010109 is 9010100000101.

It can be written as a sum of positive squares in 4 ways, for example, as 322629680025 + 687370330084 = 568005^2 + 829078^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010000010109 - 2²⁷ = 1009865792381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000050109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9855159 + ... + 9957115.

It is an arithmetic number, because the mean of its divisors is an integer number (126658599975).

Almost surely, 2^{1010000010109} is an apocalyptic number.

It is an amenable number.

1010000010109 is a deficient number, since it is larger than the sum of its proper divisors (3268789691).

1010000010109 is a wasteful number, since it uses less digits than its factorization.

1010000010109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133919.

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

The spelling of 1010000010109 in words is "one trillion, ten billion, ten thousand, one hundred nine".