102101200020217 has 2 divisors, whose sum is σ = 102101200020218. Its totient is φ = 102101200020216.

The previous prime is 102101200020167. The next prime is 102101200020263. The reversal of 102101200020217 is 712020002101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98078203061136 + 4022996959081 = 9903444^2 + 2005741^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101200020217 - 2⁴³ = 93305106998009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102101200020194 and 102101200020203.

It is not a weakly prime, because it can be changed into another prime (102101200030217) 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, 51050600010108 + 51050600010109.

It is an arithmetic number, because the mean of its divisors is an integer number (51050600010109).

Almost surely, 2^{102101200020217} is an apocalyptic number.

It is an amenable number.

102101200020217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101200020217 is an equidigital number, since it uses as much as digits as its factorization.

102101200020217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 102101200020217 its reverse (712020002101201), we get a palindrome (814121202121418).

The spelling of 102101200020217 in words is "one hundred two trillion, one hundred one billion, two hundred million, twenty thousand, two hundred seventeen".