100010084617 has 2 divisors, whose sum is σ = 100010084618. Its totient is φ = 100010084616.

The previous prime is 100010084593. The next prime is 100010084633. The reversal of 100010084617 is 716480010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61772628681 + 38237455936 = 248541^2 + 195544^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010084617 - 2²⁷ = 99875866889 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010084417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005042308 + 50005042309.

It is an arithmetic number, because the mean of its divisors is an integer number (50005042309).

Almost surely, 2^100010084617 is an apocalyptic number.

It is an amenable number.

100010084617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010084617 is an equidigital number, since it uses as much as digits as its factorization.

100010084617 is an evil number, because the sum of its binary digits is even.

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

Adding to 100010084617 its reverse (716480010001), we get a palindrome (816490094618).

The spelling of 100010084617 in words is "one hundred billion, ten million, eighty-four thousand, six hundred seventeen".