101000084617 has 2 divisors, whose sum is σ = 101000084618. Its totient is φ = 101000084616.

The previous prime is 101000084609. The next prime is 101000084671. The reversal of 101000084617 is 716480000101.

Together with next prime (101000084671) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58556256256 + 42443828361 = 241984^2 + 206019^2 .

It is an emirp because it is prime and its reverse (716480000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000084617 - 2³ = 101000084609 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000084687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500042308 + 50500042309.

It is an arithmetic number, because the mean of its divisors is an integer number (50500042309).

Almost surely, 2^101000084617 is an apocalyptic number.

It is an amenable number.

101000084617 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000084617 is an equidigital number, since it uses as much as digits as its factorization.

101000084617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 101000084617 its reverse (716480000101), we get a palindrome (817480084718).

The spelling of 101000084617 in words is "one hundred one billion, eighty-four thousand, six hundred seventeen".