101200010000017 has 2 divisors, whose sum is σ = 101200010000018. Its totient is φ = 101200010000016.

The previous prime is 101200009999999. The next prime is 101200010000081. The reversal of 101200010000017 is 710000010002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89232035805441 + 11967974194576 = 9446271^2 + 3459476^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200010000017 - 2¹¹ = 101200009997969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200009999961 and 101200010000006.

It is not a weakly prime, because it can be changed into another prime (101200010700017) 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, 50600005000008 + 50600005000009.

It is an arithmetic number, because the mean of its divisors is an integer number (50600005000009).

Almost surely, 2^{101200010000017} is an apocalyptic number.

It is an amenable number.

101200010000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200010000017 is an equidigital number, since it uses as much as digits as its factorization.

101200010000017 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 13.

Adding to 101200010000017 its reverse (710000010002101), we get a palindrome (811200020002118).

The spelling of 101200010000017 in words is "one hundred one trillion, two hundred billion, ten million, seventeen", and thus it is an aban number.