102100300000217 has 2 divisors, whose sum is σ = 102100300000218. Its totient is φ = 102100300000216.

The previous prime is 102100300000159. The next prime is 102100300000229. The reversal of 102100300000217 is 712000003001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101920917256921 + 179382743296 = 10095589^2 + 423536^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100300000217 - 2¹⁰ = 102100299999193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100300000195 and 102100300000204.

It is not a weakly prime, because it can be changed into another prime (102100300000297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050150000108 + 51050150000109.

It is an arithmetic number, because the mean of its divisors is an integer number (51050150000109).

Almost surely, 2^{102100300000217} is an apocalyptic number.

It is an amenable number.

102100300000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100300000217 is an equidigital number, since it uses as much as digits as its factorization.

102100300000217 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 17.

Adding to 102100300000217 its reverse (712000003001201), we get a palindrome (814100303001418).

The spelling of 102100300000217 in words is "one hundred two trillion, one hundred billion, three hundred million, two hundred seventeen", and thus it is an aban number.