10100117 has 2 divisors, whose sum is σ = 10100118. Its totient is φ = 10100116.

The previous prime is 10100113. The next prime is 10100131. The reversal of 10100117 is 71100101.

10100117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9006001 + 1094116 = 3001^2 + 1046^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100117 - 2² = 10100113 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100098 and 10100107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050058 + 5050059.

It is an arithmetic number, because the mean of its divisors is an integer number (5050059).

Almost surely, 2^10100117 is an apocalyptic number.

It is an amenable number.

10100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100117 is an equidigital number, since it uses as much as digits as its factorization.

10100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 11.

The square root of 10100117 is about 3178.0681238765. The cubic root of 10100117 is about 216.1600679656.

Adding to 10100117 its reverse (71100101), we get a palindrome (81200218).

The spelling of 10100117 in words is "ten million, one hundred thousand, one hundred seventeen".