10032101200117 has 2 divisors, whose sum is σ = 10032101200118. Its totient is φ = 10032101200116.

The previous prime is 10032101200109. The next prime is 10032101200141. The reversal of 10032101200117 is 71100210123001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10030389392241 + 1711807876 = 3167079^2 + 41374^2 .

It is a cyclic number.

It is not a de Polignac number, because 10032101200117 - 2³ = 10032101200109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10032101200094 and 10032101200103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10032101200717) 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, 5016050600058 + 5016050600059.

It is an arithmetic number, because the mean of its divisors is an integer number (5016050600059).

Almost surely, 2^{10032101200117} is an apocalyptic number.

It is an amenable number.

10032101200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032101200117 is an equidigital number, since it uses as much as digits as its factorization.

10032101200117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 10032101200117 its reverse (71100210123001), we get a palindrome (81132311323118).

The spelling of 10032101200117 in words is "ten trillion, thirty-two billion, one hundred one million, two hundred thousand, one hundred seventeen".