101001012021017 has 2 divisors, whose sum is σ = 101001012021018. Its totient is φ = 101001012021016.

The previous prime is 101001012020999. The next prime is 101001012021083. The reversal of 101001012021017 is 710120210100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81395563758601 + 19605448262416 = 9021949^2 + 4427804^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001012021017 - 2²⁸ = 101000743585561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001012020986 and 101001012021004.

It is not a weakly prime, because it can be changed into another prime (101001012021517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500506010508 + 50500506010509.

It is an arithmetic number, because the mean of its divisors is an integer number (50500506010509).

Almost surely, 2^{101001012021017} is an apocalyptic number.

It is an amenable number.

101001012021017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001012021017 is an equidigital number, since it uses as much as digits as its factorization.

101001012021017 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 17.

Adding to 101001012021017 its reverse (710120210100101), we get a palindrome (811121222121118).

The spelling of 101001012021017 in words is "one hundred one trillion, one billion, twelve million, twenty-one thousand, seventeen".