101612617 has 2 divisors, whose sum is σ = 101612618. Its totient is φ = 101612616.

The previous prime is 101612593. The next prime is 101612629. The reversal of 101612617 is 716216101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 1692601 = 9996^2 + 1301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101612617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101612591 and 101612600.

It is not a weakly prime, because it can be changed into another prime (101612717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50806308 + 50806309.

It is an arithmetic number, because the mean of its divisors is an integer number (50806309).

Almost surely, 2^101612617 is an apocalyptic number.

It is an amenable number.

101612617 is a deficient number, since it is larger than the sum of its proper divisors (1).

101612617 is an equidigital number, since it uses as much as digits as its factorization.

101612617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 101612617 is about 10080.3083782194. The cubic root of 101612617 is about 466.6406254743.

Adding to 101612617 its reverse (716216101), we get a palindrome (817828718).

The spelling of 101612617 in words is "one hundred one million, six hundred twelve thousand, six hundred seventeen".