101321117 has 2 divisors, whose sum is σ = 101321118. Its totient is φ = 101321116.

The previous prime is 101321093. The next prime is 101321137. The reversal of 101321117 is 711123101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74839801 + 26481316 = 8651^2 + 5146^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321117 - 2¹⁴ = 101304733 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101321095 and 101321104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101321137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660558 + 50660559.

It is an arithmetic number, because the mean of its divisors is an integer number (50660559).

Almost surely, 2^101321117 is an apocalyptic number.

It is an amenable number.

101321117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321117 is an equidigital number, since it uses as much as digits as its factorization.

101321117 is an odious number, because the sum of its binary digits is odd.

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

The square root of 101321117 is about 10065.8391105759. The cubic root of 101321117 is about 466.1939748249.

Adding to 101321117 its reverse (711123101), we get a palindrome (812444218).

The spelling of 101321117 in words is "one hundred one million, three hundred twenty-one thousand, one hundred seventeen".