217001216101 has 2 divisors, whose sum is σ = 217001216102. Its totient is φ = 217001216100.

The previous prime is 217001216093. The next prime is 217001216137. The reversal of 217001216101 is 101612100712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205323171876 + 11678044225 = 453126^2 + 108065^2 .

It is a cyclic number.

It is not a de Polignac number, because 217001216101 - 2³ = 217001216093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217001211101) 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, 108500608050 + 108500608051.

It is an arithmetic number, because the mean of its divisors is an integer number (108500608051).

Almost surely, 2^217001216101 is an apocalyptic number.

It is an amenable number.

217001216101 is a deficient number, since it is larger than the sum of its proper divisors (1).

217001216101 is an equidigital number, since it uses as much as digits as its factorization.

217001216101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 217001216101 its reverse (101612100712), we get a palindrome (318613316813).

The spelling of 217001216101 in words is "two hundred seventeen billion, one million, two hundred sixteen thousand, one hundred one".