10121117 has 2 divisors, whose sum is σ = 10121118. Its totient is φ = 10121116.

The previous prime is 10121107. The next prime is 10121119. The reversal of 10121117 is 71112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8213956 + 1907161 = 2866^2 + 1381^2 .

It is an emirp because it is prime and its reverse (71112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121117 - 2²⁰ = 9072541 is a prime.

Together with 10121119, 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 (10121119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060558 + 5060559.

It is an arithmetic number, because the mean of its divisors is an integer number (5060559).

Almost surely, 2^10121117 is an apocalyptic number.

It is an amenable number.

10121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121117 is an equidigital number, since it uses as much as digits as its factorization.

10121117 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.

The square root of 10121117 is about 3181.3703022440. The cubic root of 10121117 is about 216.3097764293.

Adding to 10121117 its reverse (71112101), we get a palindrome (81233218).

The spelling of 10121117 in words is "ten million, one hundred twenty-one thousand, one hundred seventeen".