101001606120017 has 2 divisors, whose sum is σ = 101001606120018. Its totient is φ = 101001606120016.

The previous prime is 101001606119971. The next prime is 101001606120047. The reversal of 101001606120017 is 710021606100101.

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., 95529043018816 + 5472563101201 = 9773896^2 + 2339351^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001606120017 - 2²⁸ = 101001337684561 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001606120047) 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, 50500803060008 + 50500803060009.

It is an arithmetic number, because the mean of its divisors is an integer number (50500803060009).

Almost surely, 2^{101001606120017} is an apocalyptic number.

It is an amenable number.

101001606120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001606120017 is an equidigital number, since it uses as much as digits as its factorization.

101001606120017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

The spelling of 101001606120017 in words is "one hundred one trillion, one billion, six hundred six million, one hundred twenty thousand, seventeen".