10010020010117 has 2 divisors, whose sum is σ = 10010020010118. Its totient is φ = 10010020010116.

The previous prime is 10010020009991. The next prime is 10010020010131. The reversal of 10010020010117 is 71101002001001.

10010020010117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10010020010131) can be obtained adding 10010020010117 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7732815270436 + 2277204739681 = 2780794^2 + 1509041^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010020010117 - 2²⁸ = 10009751574661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010020010167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005010005058 + 5005010005059.

It is an arithmetic number, because the mean of its divisors is an integer number (5005010005059).

Almost surely, 2^{10010020010117} is an apocalyptic number.

It is an amenable number.

10010020010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010020010117 is an equidigital number, since it uses as much as digits as its factorization.

10010020010117 is an evil number, because the sum of its binary digits is even.

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

Adding to 10010020010117 its reverse (71101002001001), we get a palindrome (81111022011118).

The spelling of 10010020010117 in words is "ten trillion, ten billion, twenty million, ten thousand, one hundred seventeen".