110665252508201 has 2 divisors, whose sum is σ = 110665252508202. Its totient is φ = 110665252508200.

The previous prime is 110665252508179. The next prime is 110665252508203. The reversal of 110665252508201 is 102805252566011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103844150256025 + 6821102252176 = 10190395^2 + 2611724^2 .

It is a cyclic number.

It is not a de Polignac number, because 110665252508201 - 2³⁰ = 110664178766377 is a prime.

It is a super-2 number, since 2×110665252508201² (a number of 29 digits) contains 22 as substring.

Together with 110665252508203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (110665252508203) 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, 55332626254100 + 55332626254101.

It is an arithmetic number, because the mean of its divisors is an integer number (55332626254101).

Almost surely, 2^{110665252508201} is an apocalyptic number.

It is an amenable number.

110665252508201 is a deficient number, since it is larger than the sum of its proper divisors (1).

110665252508201 is an equidigital number, since it uses as much as digits as its factorization.

110665252508201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288000, while the sum is 44.

The spelling of 110665252508201 in words is "one hundred ten trillion, six hundred sixty-five billion, two hundred fifty-two million, five hundred eight thousand, two hundred one".