10110122120617 has 2 divisors, whose sum is σ = 10110122120618. Its totient is φ = 10110122120616.

The previous prime is 10110122120611. The next prime is 10110122120633. The reversal of 10110122120617 is 71602122101101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7647055539561 + 2463066581056 = 2765331^2 + 1569416^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110122120617 - 2²³ = 10110113732009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10110122120591 and 10110122120600.

It is not a weakly prime, because it can be changed into another prime (10110122120611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055061060308 + 5055061060309.

It is an arithmetic number, because the mean of its divisors is an integer number (5055061060309).

Almost surely, 2^{10110122120617} is an apocalyptic number.

It is an amenable number.

10110122120617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110122120617 is an equidigital number, since it uses as much as digits as its factorization.

10110122120617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 25.

Adding to 10110122120617 its reverse (71602122101101), we get a palindrome (81712244221718).

The spelling of 10110122120617 in words is "ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, six hundred seventeen".