211012212212177 has 2 divisors, whose sum is σ = 211012212212178. Its totient is φ = 211012212212176.

The previous prime is 211012212212063. The next prime is 211012212212227. The reversal of 211012212212177 is 771212212210112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116525958288961 + 94486253923216 = 10794719^2 + 9720404^2 .

It is a cyclic number.

It is not a de Polignac number, because 211012212212177 - 2¹⁰ = 211012212211153 is a prime.

It is not a weakly prime, because it can be changed into another prime (211012212212377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105506106106088 + 105506106106089.

It is an arithmetic number, because the mean of its divisors is an integer number (105506106106089).

Almost surely, 2^{211012212212177} is an apocalyptic number.

It is an amenable number.

211012212212177 is a deficient number, since it is larger than the sum of its proper divisors (1).

211012212212177 is an equidigital number, since it uses as much as digits as its factorization.

211012212212177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136, while the sum is 32.

Adding to 211012212212177 its reverse (771212212210112), we get a palindrome (982224424422289).

The spelling of 211012212212177 in words is "two hundred eleven trillion, twelve billion, two hundred twelve million, two hundred twelve thousand, one hundred seventy-seven".