212112120012181 has 2 divisors, whose sum is σ = 212112120012182. Its totient is φ = 212112120012180.

The previous prime is 212112120012167. The next prime is 212112120012263. The reversal of 212112120012181 is 181210021211212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181256650259281 + 30855469752900 = 13463159^2 + 5554770^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112120012181 - 2¹³ = 212112120003989 is a prime.

It is a super-2 number, since 2×212112120012181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212112120012151) 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, 106056060006090 + 106056060006091.

It is an arithmetic number, because the mean of its divisors is an integer number (106056060006091).

Almost surely, 2^{212112120012181} is an apocalyptic number.

It is an amenable number.

212112120012181 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112120012181 is an equidigital number, since it uses as much as digits as its factorization.

212112120012181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 25.

Adding to 212112120012181 its reverse (181210021211212), we get a palindrome (393322141223393).

The spelling of 212112120012181 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty million, twelve thousand, one hundred eighty-one".