101121201216017 has 2 divisors, whose sum is σ = 101121201216018. Its totient is φ = 101121201216016.

The previous prime is 101121201216001. The next prime is 101121201216059. The reversal of 101121201216017 is 710612102121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101119194086416 + 2007129601 = 10055804^2 + 44801^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121201216017 - 2⁴ = 101121201216001 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121201216067) 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, 50560600608008 + 50560600608009.

It is an arithmetic number, because the mean of its divisors is an integer number (50560600608009).

Almost surely, 2^{101121201216017} is an apocalyptic number.

It is an amenable number.

101121201216017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121201216017 is an equidigital number, since it uses as much as digits as its factorization.

101121201216017 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 26.

Adding to 101121201216017 its reverse (710612102121101), we get a palindrome (811733303337118).

The spelling of 101121201216017 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred sixteen thousand, seventeen".