101123120017 has 2 divisors, whose sum is σ = 101123120018. Its totient is φ = 101123120016.

The previous prime is 101123120009. The next prime is 101123120027. The reversal of 101123120017 is 710021321101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96746503681 + 4376616336 = 311041^2 + 66156^2 .

It is an emirp because it is prime and its reverse (710021321101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101123120017 - 2³ = 101123120009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101123119976 and 101123120003.

It is not a weakly prime, because it can be changed into another prime (101123120027) 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, 50561560008 + 50561560009.

It is an arithmetic number, because the mean of its divisors is an integer number (50561560009).

Almost surely, 2^101123120017 is an apocalyptic number.

It is an amenable number.

101123120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123120017 is an equidigital number, since it uses as much as digits as its factorization.

101123120017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 101123120017 its reverse (710021321101), we get a palindrome (811144441118).

The spelling of 101123120017 in words is "one hundred one billion, one hundred twenty-three million, one hundred twenty thousand, seventeen".