2212123300181 has 2 divisors, whose sum is σ = 2212123300182. Its totient is φ = 2212123300180.

The previous prime is 2212123300151. The next prime is 2212123300207. The reversal of 2212123300181 is 1810033212122.

It is an a-pointer prime, because the next prime (2212123300207) can be obtained adding 2212123300181 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1655831077681 + 556292222500 = 1286791^2 + 745850^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212123300181 - 2⁶ = 2212123300117 is a prime.

It is a super-2 number, since 2×2212123300181² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2212123300181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212123300151) 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, 1106061650090 + 1106061650091.

It is an arithmetic number, because the mean of its divisors is an integer number (1106061650091).

Almost surely, 2^{2212123300181} is an apocalyptic number.

It is an amenable number.

2212123300181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212123300181 is an equidigital number, since it uses as much as digits as its factorization.

2212123300181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 2212123300181 in words is "two trillion, two hundred twelve billion, one hundred twenty-three million, three hundred thousand, one hundred eighty-one".