100002000181 has 2 divisors, whose sum is σ = 100002000182. Its totient is φ = 100002000180.

The previous prime is 100002000167. The next prime is 100002000199. The reversal of 100002000181 is 181000200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93911602500 + 6090397681 = 306450^2 + 78041^2 .

It is an emirp because it is prime and its reverse (181000200001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100002000181 - 2⁷ = 100002000053 is a prime.

It is a super-2 number, since 2×100002000181² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002000481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001000090 + 50001000091.

It is an arithmetic number, because the mean of its divisors is an integer number (50001000091).

Almost surely, 2^100002000181 is an apocalyptic number.

It is an amenable number.

100002000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002000181 is an equidigital number, since it uses as much as digits as its factorization.

100002000181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100002000181 its reverse (181000200001), we get a palindrome (281002200182).

The spelling of 100002000181 in words is "one hundred billion, two million, one hundred eighty-one", and thus it is an aban number.