100002100259 has 2 divisors, whose sum is σ = 100002100260. Its totient is φ = 100002100258.

The previous prime is 100002100217. The next prime is 100002100271. The reversal of 100002100259 is 952001200001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100002100259 - 2³⁶ = 31282623523 is a prime.

It is a super-2 number, since 2×100002100259² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100002100259.

It is not a weakly prime, because it can be changed into another prime (100002100559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001050129 + 50001050130.

It is an arithmetic number, because the mean of its divisors is an integer number (50001050130).

Almost surely, 2^100002100259 is an apocalyptic number.

100002100259 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002100259 is an equidigital number, since it uses as much as digits as its factorization.

100002100259 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 100002100259 in words is "one hundred billion, two million, one hundred thousand, two hundred fifty-nine".