10110000102509 has 2 divisors, whose sum is σ = 10110000102510. Its totient is φ = 10110000102508.

The previous prime is 10110000102467. The next prime is 10110000102529. The reversal of 10110000102509 is 90520100001101.

It is an a-pointer prime, because the next prime (10110000102529) can be obtained adding 10110000102509 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5675248469284 + 4434751633225 = 2382278^2 + 2105885^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110000102509 - 2²⁰ = 10109999053933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10110000102529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055000051254 + 5055000051255.

It is an arithmetic number, because the mean of its divisors is an integer number (5055000051255).

Almost surely, 2^{10110000102509} is an apocalyptic number.

It is an amenable number.

10110000102509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110000102509 is an equidigital number, since it uses as much as digits as its factorization.

10110000102509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 20.

The spelling of 10110000102509 in words is "ten trillion, one hundred ten billion, one hundred two thousand, five hundred nine".