10112002002259 has 2 divisors, whose sum is σ = 10112002002260. Its totient is φ = 10112002002258.

The previous prime is 10112002002191. The next prime is 10112002002299. The reversal of 10112002002259 is 95220020021101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10112002002259 - 2¹⁵ = 10112001969491 is a prime.

It is a super-2 number, since 2×10112002002259² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10112002002299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056001001129 + 5056001001130.

It is an arithmetic number, because the mean of its divisors is an integer number (5056001001130).

Almost surely, 2^{10112002002259} is an apocalyptic number.

10112002002259 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112002002259 is an equidigital number, since it uses as much as digits as its factorization.

10112002002259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 10112002002259 in words is "ten trillion, one hundred twelve billion, two million, two thousand, two hundred fifty-nine".