212144331414181 has 2 divisors, whose sum is σ = 212144331414182. Its totient is φ = 212144331414180.

The previous prime is 212144331414179. The next prime is 212144331414287. The reversal of 212144331414181 is 181414133441212.

212144331414181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209757028306081 + 2387303108100 = 14482991^2 + 1545090^2 .

It is a cyclic number.

It is not a de Polignac number, because 212144331414181 - 2¹ = 212144331414179 is a prime.

It is a super-2 number, since 2×212144331414181² (a number of 29 digits) contains 22 as substring.

Together with 212144331414179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212144331414481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106072165707090 + 106072165707091.

It is an arithmetic number, because the mean of its divisors is an integer number (106072165707091).

Almost surely, 2^{212144331414181} is an apocalyptic number.

It is an amenable number.

212144331414181 is a deficient number, since it is larger than the sum of its proper divisors (1).

212144331414181 is an equidigital number, since it uses as much as digits as its factorization.

212144331414181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 73728, while the sum is 40.

Adding to 212144331414181 its reverse (181414133441212), we get a palindrome (393558464855393).

The spelling of 212144331414181 in words is "two hundred twelve trillion, one hundred forty-four billion, three hundred thirty-one million, four hundred fourteen thousand, one hundred eighty-one".