10100120117 has 2 divisors, whose sum is σ = 10100120118. Its totient is φ = 10100120116.

The previous prime is 10100120083. The next prime is 10100120119. The reversal of 10100120117 is 71102100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6594414436 + 3505705681 = 81206^2 + 59209^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100120117 - 2¹² = 10100116021 is a prime.

Together with 10100120119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100120119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050060058 + 5050060059.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060059).

Almost surely, 2^10100120117 is an apocalyptic number.

It is an amenable number.

10100120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100120117 is an equidigital number, since it uses as much as digits as its factorization.

10100120117 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 14.

Adding to 10100120117 its reverse (71102100101), we get a palindrome (81202220218).

The spelling of 10100120117 in words is "ten billion, one hundred million, one hundred twenty thousand, one hundred seventeen".