110022112122133 has 2 divisors, whose sum is σ = 110022112122134. Its totient is φ = 110022112122132.

The previous prime is 110022112122053. The next prime is 110022112122193. The reversal of 110022112122133 is 331221211220011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76734831864964 + 33287280257169 = 8759842^2 + 5769513^2 .

It is a cyclic number.

It is not a de Polignac number, because 110022112122133 - 2¹³ = 110022112113941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110022112122193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55011056061066 + 55011056061067.

It is an arithmetic number, because the mean of its divisors is an integer number (55011056061067).

Almost surely, 2^{110022112122133} is an apocalyptic number.

It is an amenable number.

110022112122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

110022112122133 is an equidigital number, since it uses as much as digits as its factorization.

110022112122133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 110022112122133 its reverse (331221211220011), we get a palindrome (441243323342144).

The spelling of 110022112122133 in words is "one hundred ten trillion, twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred thirty-three".