201122121112261 has 2 divisors, whose sum is σ = 201122121112262. Its totient is φ = 201122121112260.

The previous prime is 201122121112249. The next prime is 201122121112273. The reversal of 201122121112261 is 162211121221102.

It is a balanced prime because it is at equal distance from previous prime (201122121112249) and next prime (201122121112273).

It can be written as a sum of positive squares in only one way, i.e., 189292717540161 + 11829403572100 = 13758369^2 + 3439390^2 .

It is a cyclic number.

It is not a de Polignac number, because 201122121112261 - 2¹⁷ = 201122120981189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201122121115261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561060556130 + 100561060556131.

It is an arithmetic number, because the mean of its divisors is an integer number (100561060556131).

Almost surely, 2^{201122121112261} is an apocalyptic number.

It is an amenable number.

201122121112261 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122121112261 is an equidigital number, since it uses as much as digits as its factorization.

201122121112261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 25.

Adding to 201122121112261 its reverse (162211121221102), we get a palindrome (363333242333363).

The spelling of 201122121112261 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred sixty-one".