101331020017 has 2 divisors, whose sum is σ = 101331020018. Its totient is φ = 101331020016.

The previous prime is 101331019967. The next prime is 101331020041. The reversal of 101331020017 is 710020133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99508071601 + 1822948416 = 315449^2 + 42696^2 .

It is an emirp because it is prime and its reverse (710020133101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101331020017 - 2³⁵ = 66971281649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101331019976 and 101331020003.

It is not a weakly prime, because it can be changed into another prime (101331020057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665510008 + 50665510009.

It is an arithmetic number, because the mean of its divisors is an integer number (50665510009).

Almost surely, 2^101331020017 is an apocalyptic number.

It is an amenable number.

101331020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331020017 is an equidigital number, since it uses as much as digits as its factorization.

101331020017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 101331020017 its reverse (710020133101), we get a palindrome (811351153118).

The spelling of 101331020017 in words is "one hundred one billion, three hundred thirty-one million, twenty thousand, seventeen".