201221011122349 has 2 divisors, whose sum is σ = 201221011122350. Its totient is φ = 201221011122348.

The previous prime is 201221011122317. The next prime is 201221011122371. The reversal of 201221011122349 is 943221110122102.

201221011122349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119726970088324 + 81494041034025 = 10941982^2 + 9027405^2 .

It is a cyclic number.

It is not a de Polignac number, because 201221011122349 - 2⁵ = 201221011122317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201221011122349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201221011122749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100610505561174 + 100610505561175.

It is an arithmetic number, because the mean of its divisors is an integer number (100610505561175).

Almost surely, 2^{201221011122349} is an apocalyptic number.

It is an amenable number.

201221011122349 is a deficient number, since it is larger than the sum of its proper divisors (1).

201221011122349 is an equidigital number, since it uses as much as digits as its factorization.

201221011122349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 201221011122349 in words is "two hundred one trillion, two hundred twenty-one billion, eleven million, one hundred twenty-two thousand, three hundred forty-nine".