110002201021133 has 2 divisors, whose sum is σ = 110002201021134. Its totient is φ = 110002201021132.

The previous prime is 110002201021117. The next prime is 110002201021169. The reversal of 110002201021133 is 331120102200011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76488545367529 + 33513655653604 = 8745773^2 + 5789098^2 .

It is an emirp because it is prime and its reverse (331120102200011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110002201021133 - 2⁴ = 110002201021117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110002201021033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55001100510566 + 55001100510567.

It is an arithmetic number, because the mean of its divisors is an integer number (55001100510567).

Almost surely, 2^{110002201021133} is an apocalyptic number.

It is an amenable number.

110002201021133 is a deficient number, since it is larger than the sum of its proper divisors (1).

110002201021133 is an equidigital number, since it uses as much as digits as its factorization.

110002201021133 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 17.

Adding to 110002201021133 its reverse (331120102200011), we get a palindrome (441122303221144).

The spelling of 110002201021133 in words is "one hundred ten trillion, two billion, two hundred one million, twenty-one thousand, one hundred thirty-three".