10010114509 has 2 divisors, whose sum is σ = 10010114510. Its totient is φ = 10010114508.

The previous prime is 10010114507. The next prime is 10010114537. The reversal of 10010114509 is 90541101001.

10010114509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9608312484 + 401802025 = 98022^2 + 20045^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010114509 - 2¹ = 10010114507 is a prime.

It is a super-2 number, since 2×10010114509² (a number of 21 digits) contains 22 as substring.

Together with 10010114507, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10010114509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010114501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005057254 + 5005057255.

It is an arithmetic number, because the mean of its divisors is an integer number (5005057255).

Almost surely, 2^10010114509 is an apocalyptic number.

It is an amenable number.

10010114509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010114509 is an equidigital number, since it uses as much as digits as its factorization.

10010114509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 10010114509 in words is "ten billion, ten million, one hundred fourteen thousand, five hundred nine".