10001000084617 has 2 divisors, whose sum is σ = 10001000084618. Its totient is φ = 10001000084616.

The previous prime is 10001000084611. The next prime is 10001000084681. The reversal of 10001000084617 is 71648000010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9768725246016 + 232274838601 = 3125496^2 + 481949^2 .

It is an emirp because it is prime and its reverse (71648000010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001000084617 - 2³⁵ = 9966640346249 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001000084611) 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, 5000500042308 + 5000500042309.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500042309).

Almost surely, 2^{10001000084617} is an apocalyptic number.

It is an amenable number.

10001000084617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001000084617 is an equidigital number, since it uses as much as digits as its factorization.

10001000084617 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 10001000084617 its reverse (71648000010001), we get a palindrome (81649000094618).

The spelling of 10001000084617 in words is "ten trillion, one billion, eighty-four thousand, six hundred seventeen".