10000102100117 has 2 divisors, whose sum is σ = 10000102100118. Its totient is φ = 10000102100116.

The previous prime is 10000102100101. The next prime is 10000102100123. The reversal of 10000102100117 is 71100120100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9871623583396 + 128478516721 = 3141914^2 + 358439^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000102100117 - 2⁴ = 10000102100101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000102100717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000051050058 + 5000051050059.

It is an arithmetic number, because the mean of its divisors is an integer number (5000051050059).

Almost surely, 2^{10000102100117} is an apocalyptic number.

It is an amenable number.

10000102100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000102100117 is an equidigital number, since it uses as much as digits as its factorization.

10000102100117 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 10000102100117 its reverse (71100120100001), we get a palindrome (81100222200118).

The spelling of 10000102100117 in words is "ten trillion, one hundred two million, one hundred thousand, one hundred seventeen".