164584361800121 has 2 divisors, whose sum is σ = 164584361800122. Its totient is φ = 164584361800120.

The previous prime is 164584361800093. The next prime is 164584361800189. The reversal of 164584361800121 is 121008163485461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104240751146896 + 60343610653225 = 10209836^2 + 7768115^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164584361800121 is a prime.

It is a super-2 number, since 2×164584361800121² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164584361800121.

It is not a weakly prime, because it can be changed into another prime (164584361200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82292180900060 + 82292180900061.

It is an arithmetic number, because the mean of its divisors is an integer number (82292180900061).

Almost surely, 2^{164584361800121} is an apocalyptic number.

It is an amenable number.

164584361800121 is a deficient number, since it is larger than the sum of its proper divisors (1).

164584361800121 is an equidigital number, since it uses as much as digits as its factorization.

164584361800121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 164584361800121 in words is "one hundred sixty-four trillion, five hundred eighty-four billion, three hundred sixty-one million, eight hundred thousand, one hundred twenty-one".