10010002102117 has 2 divisors, whose sum is σ = 10010002102118. Its totient is φ = 10010002102116.

The previous prime is 10010002102039. The next prime is 10010002102147. The reversal of 10010002102117 is 71120120001001.

10010002102117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7092895236001 + 2917106866116 = 2663249^2 + 1707954^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010002102117 - 2²⁷ = 10009867884389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010002102117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010002102147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005001051058 + 5005001051059.

It is an arithmetic number, because the mean of its divisors is an integer number (5005001051059).

Almost surely, 2^{10010002102117} is an apocalyptic number.

It is an amenable number.

10010002102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010002102117 is an equidigital number, since it uses as much as digits as its factorization.

10010002102117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 10010002102117 its reverse (71120120001001), we get a palindrome (81130122103118).

The spelling of 10010002102117 in words is "ten trillion, ten billion, two million, one hundred two thousand, one hundred seventeen".