12201121120261 has 2 divisors, whose sum is σ = 12201121120262. Its totient is φ = 12201121120260.

The previous prime is 12201121120189. The next prime is 12201121120303. The reversal of 12201121120261 is 16202112110221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9649913557761 + 2551207562500 = 3106431^2 + 1597250^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201121120261 - 2¹³ = 12201121112069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201121120961) 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, 6100560560130 + 6100560560131.

It is an arithmetic number, because the mean of its divisors is an integer number (6100560560131).

Almost surely, 2^{12201121120261} is an apocalyptic number.

It is an amenable number.

12201121120261 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201121120261 is an equidigital number, since it uses as much as digits as its factorization.

12201121120261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 12201121120261 its reverse (16202112110221), we get a palindrome (28403233230482).

The spelling of 12201121120261 in words is "twelve trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty thousand, two hundred sixty-one".