20101310310217 has 2 divisors, whose sum is σ = 20101310310218. Its totient is φ = 20101310310216.

The previous prime is 20101310310181. The next prime is 20101310310251. The reversal of 20101310310217 is 71201301310102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19792675618816 + 308634691401 = 4448896^2 + 555549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20101310310217 is a prime.

It is not a weakly prime, because it can be changed into another prime (20101310410217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050655155108 + 10050655155109.

It is an arithmetic number, because the mean of its divisors is an integer number (10050655155109).

Almost surely, 2^{20101310310217} is an apocalyptic number.

It is an amenable number.

20101310310217 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101310310217 is an equidigital number, since it uses as much as digits as its factorization.

20101310310217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 20101310310217 its reverse (71201301310102), we get a palindrome (91302611620319).

The spelling of 20101310310217 in words is "twenty trillion, one hundred one billion, three hundred ten million, three hundred ten thousand, two hundred seventeen".