101002020017 has 2 divisors, whose sum is σ = 101002020018. Its totient is φ = 101002020016.

The previous prime is 101002020011. The next prime is 101002020019. The reversal of 101002020017 is 710020200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89865650176 + 11136369841 = 299776^2 + 105529^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002020017 - 2⁴ = 101002020001 is a prime.

Together with 101002020019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002019983 and 101002020010.

It is not a weakly prime, because it can be changed into another prime (101002020011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501010008 + 50501010009.

It is an arithmetic number, because the mean of its divisors is an integer number (50501010009).

Almost surely, 2^101002020017 is an apocalyptic number.

It is an amenable number.

101002020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002020017 is an equidigital number, since it uses as much as digits as its factorization.

101002020017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 101002020017 its reverse (710020200101), we get a palindrome (811022220118).

The spelling of 101002020017 in words is "one hundred one billion, two million, twenty thousand, seventeen".