10001100000509 has 2 divisors, whose sum is σ = 10001100000510. Its totient is φ = 10001100000508.

The previous prime is 10001100000499. The next prime is 10001100000533. The reversal of 10001100000509 is 90500000110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5633041800409 + 4368058200100 = 2373403^2 + 2089990^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001100000509 - 2²⁴ = 10001083223293 is a prime.

It is a super-2 number, since 2×10001100000509² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001100000599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550000254 + 5000550000255.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550000255).

Almost surely, 2^{10001100000509} is an apocalyptic number.

It is an amenable number.

10001100000509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100000509 is an equidigital number, since it uses as much as digits as its factorization.

10001100000509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 17.

The spelling of 10001100000509 in words is "ten trillion, one billion, one hundred million, five hundred nine", and thus it is an aban number.