101002010020217 has 2 divisors, whose sum is σ = 101002010020218. Its totient is φ = 101002010020216.

The previous prime is 101002010020147. The next prime is 101002010020229. The reversal of 101002010020217 is 712020010200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75142181434681 + 25859828585536 = 8668459^2 + 5085256^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002010020217 - 2¹⁸ = 101002009758073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002010020195 and 101002010020204.

It is not a weakly prime, because it can be changed into another prime (101002010023217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501005010108 + 50501005010109.

It is an arithmetic number, because the mean of its divisors is an integer number (50501005010109).

Almost surely, 2^{101002010020217} is an apocalyptic number.

It is an amenable number.

101002010020217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002010020217 is an equidigital number, since it uses as much as digits as its factorization.

101002010020217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 101002010020217 its reverse (712020010200101), we get a palindrome (813022020220318).

The spelling of 101002010020217 in words is "one hundred one trillion, two billion, ten million, twenty thousand, two hundred seventeen".