100012311181 has 2 divisors, whose sum is σ = 100012311182. Its totient is φ = 100012311180.

The previous prime is 100012311127. The next prime is 100012311233. The reversal of 100012311181 is 181113210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67202785225 + 32809525956 = 259235^2 + 181134^2 .

It is an emirp because it is prime and its reverse (181113210001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100012311181 - 2²³ = 100003922573 is a prime.

It is a super-2 number, since 2×100012311181² (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 (100012351181) 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, 50006155590 + 50006155591.

It is an arithmetic number, because the mean of its divisors is an integer number (50006155591).

Almost surely, 2^100012311181 is an apocalyptic number.

It is an amenable number.

100012311181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012311181 is an equidigital number, since it uses as much as digits as its factorization.

100012311181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 100012311181 its reverse (181113210001), we get a palindrome (281125521182).

The spelling of 100012311181 in words is "one hundred billion, twelve million, three hundred eleven thousand, one hundred eighty-one".