201040242211121 has 2 divisors, whose sum is σ = 201040242211122. Its totient is φ = 201040242211120.

The previous prime is 201040242211043. The next prime is 201040242211141. The reversal of 201040242211121 is 121112242040102.

201040242211121 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., 161642337810496 + 39397904400625 = 12713864^2 + 6276775^2 .

It is a cyclic number.

It is not a de Polignac number, because 201040242211121 - 2¹⁸ = 201040241948977 is a prime.

It is not a weakly prime, because it can be changed into another prime (201040242211141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100520121105560 + 100520121105561.

It is an arithmetic number, because the mean of its divisors is an integer number (100520121105561).

Almost surely, 2^{201040242211121} is an apocalyptic number.

It is an amenable number.

201040242211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201040242211121 is an equidigital number, since it uses as much as digits as its factorization.

201040242211121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 201040242211121 its reverse (121112242040102), we get a palindrome (322152484251223).

The spelling of 201040242211121 in words is "two hundred one trillion, forty billion, two hundred forty-two million, two hundred eleven thousand, one hundred twenty-one".