101000093617 has 2 divisors, whose sum is σ = 101000093618. Its totient is φ = 101000093616.

The previous prime is 101000093603. The next prime is 101000093629. The reversal of 101000093617 is 716390000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65441825856 + 35558267761 = 255816^2 + 188569^2 .

It is an emirp because it is prime and its reverse (716390000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000093617 - 2⁷ = 101000093489 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000093917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500046808 + 50500046809.

It is an arithmetic number, because the mean of its divisors is an integer number (50500046809).

Almost surely, 2^101000093617 is an apocalyptic number.

It is an amenable number.

101000093617 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000093617 is an equidigital number, since it uses as much as digits as its factorization.

101000093617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 28.

Adding to 101000093617 its reverse (716390000101), we get a palindrome (817390093718).

The spelling of 101000093617 in words is "one hundred one billion, ninety-three thousand, six hundred seventeen".