211121101110181 has 2 divisors, whose sum is σ = 211121101110182. Its totient is φ = 211121101110180.

The previous prime is 211121101110119. The next prime is 211121101110239. The reversal of 211121101110181 is 181011101121112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198432046001281 + 12689055108900 = 14086591^2 + 3562170^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121101110181 - 2⁹ = 211121101109669 is a prime.

It is a super-2 number, since 2×211121101110181² (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 (211121101116181) 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, 105560550555090 + 105560550555091.

It is an arithmetic number, because the mean of its divisors is an integer number (105560550555091).

Almost surely, 2^{211121101110181} is an apocalyptic number.

It is an amenable number.

211121101110181 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121101110181 is an equidigital number, since it uses as much as digits as its factorization.

211121101110181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 22.

Adding to 211121101110181 its reverse (181011101121112), we get a palindrome (392132202231293).

The spelling of 211121101110181 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred one million, one hundred ten thousand, one hundred eighty-one".