101002000101017 has 2 divisors, whose sum is σ = 101002000101018. Its totient is φ = 101002000101016.

The previous prime is 101002000101001. The next prime is 101002000101061. The reversal of 101002000101017 is 710101000200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87623004032656 + 13378996068361 = 9360716^2 + 3657731^2 .

It is an emirp because it is prime and its reverse (710101000200101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101002000101017 - 2⁴ = 101002000101001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002000100992 and 101002000101010.

It is not a weakly prime, because it can be changed into another prime (101002000101517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501000050508 + 50501000050509.

It is an arithmetic number, because the mean of its divisors is an integer number (50501000050509).

Almost surely, 2^{101002000101017} is an apocalyptic number.

It is an amenable number.

101002000101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002000101017 is an equidigital number, since it uses as much as digits as its factorization.

101002000101017 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101002000101017 its reverse (710101000200101), we get a palindrome (811103000301118).

The spelling of 101002000101017 in words is "one hundred one trillion, two billion, one hundred one thousand, seventeen".