101330100310217 has 2 divisors, whose sum is σ = 101330100310218. Its totient is φ = 101330100310216.

The previous prime is 101330100310177. The next prime is 101330100310289. The reversal of 101330100310217 is 712013001033101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97024292708281 + 4305807601936 = 9850091^2 + 2075044^2 .

It is a cyclic number.

It is not a de Polignac number, because 101330100310217 - 2¹² = 101330100306121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101330100310192 and 101330100310201.

It is not a weakly prime, because it can be changed into another prime (101330100313217) 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, 50665050155108 + 50665050155109.

It is an arithmetic number, because the mean of its divisors is an integer number (50665050155109).

Almost surely, 2^{101330100310217} is an apocalyptic number.

It is an amenable number.

101330100310217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101330100310217 is an equidigital number, since it uses as much as digits as its factorization.

101330100310217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 101330100310217 its reverse (712013001033101), we get a palindrome (813343101343318).

The spelling of 101330100310217 in words is "one hundred one trillion, three hundred thirty billion, one hundred million, three hundred ten thousand, two hundred seventeen".