101312117 has 2 divisors, whose sum is σ = 101312118. Its totient is φ = 101312116.

The previous prime is 101312111. The next prime is 101312137. The reversal of 101312117 is 711213101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55965361 + 45346756 = 7481^2 + 6734^2 .

It is a cyclic number.

It is not a de Polignac number, because 101312117 - 2¹⁸ = 101049973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101312095 and 101312104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101312111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656058 + 50656059.

It is an arithmetic number, because the mean of its divisors is an integer number (50656059).

Almost surely, 2^101312117 is an apocalyptic number.

It is an amenable number.

101312117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101312117 is an equidigital number, since it uses as much as digits as its factorization.

101312117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 101312117 is about 10065.3920440289. The cubic root of 101312117 is about 466.1801709568.

Adding to 101312117 its reverse (711213101), we get a palindrome (812525218).

The spelling of 101312117 in words is "one hundred one million, three hundred twelve thousand, one hundred seventeen".