201122111201111 has 2 divisors, whose sum is σ = 201122111201112. Its totient is φ = 201122111201110.

The previous prime is 201122111201083. The next prime is 201122111201113. The reversal of 201122111201111 is 111102111221102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 201122111201111 - 2⁴² = 196724064690007 is a prime.

It is a super-3 number, since 3×201122111201111³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 201122111201113, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201122111201111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201122111201113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561055600555 + 100561055600556.

It is an arithmetic number, because the mean of its divisors is an integer number (100561055600556).

Almost surely, 2^{201122111201111} is an apocalyptic number.

201122111201111 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122111201111 is an equidigital number, since it uses as much as digits as its factorization.

201122111201111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 201122111201111 its reverse (111102111221102), we get a palindrome (312224222422213).

The spelling of 201122111201111 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred eleven million, two hundred one thousand, one hundred eleven".