101001020201017 has 2 divisors, whose sum is σ = 101001020201018. Its totient is φ = 101001020201016.

The previous prime is 101001020200991. The next prime is 101001020201041. The reversal of 101001020201017 is 710102020100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98513346801321 + 2487673399696 = 9925389^2 + 1577236^2 .

It is an emirp because it is prime and its reverse (710102020100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001020201017 - 2¹⁹ = 101001019676729 is a prime.

It is a super-3 number, since 3×101001020201017³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101001020201617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500510100508 + 50500510100509.

It is an arithmetic number, because the mean of its divisors is an integer number (50500510100509).

Almost surely, 2^{101001020201017} is an apocalyptic number.

It is an amenable number.

101001020201017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001020201017 is an equidigital number, since it uses as much as digits as its factorization.

101001020201017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 101001020201017 its reverse (710102020100101), we get a palindrome (811103040301118).

The spelling of 101001020201017 in words is "one hundred one trillion, one billion, twenty million, two hundred one thousand, seventeen".