211212120100181 has 2 divisors, whose sum is σ = 211212120100182. Its totient is φ = 211212120100180.

The previous prime is 211212120100151. The next prime is 211212120100253. The reversal of 211212120100181 is 181001021212112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137038255719556 + 74173864380625 = 11706334^2 + 8612425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211212120100181 is a prime.

It is a super-2 number, since 2×211212120100181² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211212120100151) 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, 105606060050090 + 105606060050091.

It is an arithmetic number, because the mean of its divisors is an integer number (105606060050091).

Almost surely, 2^{211212120100181} is an apocalyptic number.

It is an amenable number.

211212120100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212120100181 is an equidigital number, since it uses as much as digits as its factorization.

211212120100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 211212120100181 its reverse (181001021212112), we get a palindrome (392213141312293).

The spelling of 211212120100181 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty million, one hundred thousand, one hundred eighty-one".