201122110111133 has 2 divisors, whose sum is σ = 201122110111134. Its totient is φ = 201122110111132.

The previous prime is 201122110111051. The next prime is 201122110111151. The reversal of 201122110111133 is 331111011221102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106383092951524 + 94739017159609 = 10314218^2 + 9733397^2 .

It is a cyclic number.

It is not a de Polignac number, because 201122110111133 - 2²² = 201122105916829 is a prime.

It is a super-2 number, since 2×201122110111133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201122110111333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561055055566 + 100561055055567.

It is an arithmetic number, because the mean of its divisors is an integer number (100561055055567).

Almost surely, 2^{201122110111133} is an apocalyptic number.

It is an amenable number.

201122110111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122110111133 is an equidigital number, since it uses as much as digits as its factorization.

201122110111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 201122110111133 its reverse (331111011221102), we get a palindrome (532233121332235).

The spelling of 201122110111133 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred ten million, one hundred eleven thousand, one hundred thirty-three".