221211112249 has 2 divisors, whose sum is σ = 221211112250. Its totient is φ = 221211112248.

The previous prime is 221211112217. The next prime is 221211112277. The reversal of 221211112249 is 942211112122.

221211112249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (221211112277) can be obtained adding 221211112249 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121713765625 + 99497346624 = 348875^2 + 315432^2 .

It is a cyclic number.

It is not a de Polignac number, because 221211112249 - 2⁵ = 221211112217 is a prime.

It is not a weakly prime, because it can be changed into another prime (221211112349) 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, 110605556124 + 110605556125.

It is an arithmetic number, because the mean of its divisors is an integer number (110605556125).

Almost surely, 2^221211112249 is an apocalyptic number.

It is an amenable number.

221211112249 is a deficient number, since it is larger than the sum of its proper divisors (1).

221211112249 is an equidigital number, since it uses as much as digits as its factorization.

221211112249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 28.

The spelling of 221211112249 in words is "two hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, two hundred forty-nine".