201121111022261 has 2 divisors, whose sum is σ = 201121111022262. Its totient is φ = 201121111022260.

The previous prime is 201121111022173. The next prime is 201121111022287. The reversal of 201121111022261 is 162220111121102.

201121111022261 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., 200534345830225 + 586765192036 = 14161015^2 + 766006^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121111022261 - 2¹⁸ = 201121110760117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201121111027261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560555511130 + 100560555511131.

It is an arithmetic number, because the mean of its divisors is an integer number (100560555511131).

Almost surely, 2^{201121111022261} is an apocalyptic number.

It is an amenable number.

201121111022261 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121111022261 is an equidigital number, since it uses as much as digits as its factorization.

201121111022261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 201121111022261 its reverse (162220111121102), we get a palindrome (363341222143363).

The spelling of 201121111022261 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred eleven million, twenty-two thousand, two hundred sixty-one".