110123121133 has 2 divisors, whose sum is σ = 110123121134. Its totient is φ = 110123121132.

The previous prime is 110123121113. The next prime is 110123121137. The reversal of 110123121133 is 331121321011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90858236329 + 19264884804 = 301427^2 + 138798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110123121133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110123121133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110123121137) 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, 55061560566 + 55061560567.

It is an arithmetic number, because the mean of its divisors is an integer number (55061560567).

Almost surely, 2^110123121133 is an apocalyptic number.

It is an amenable number.

110123121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

110123121133 is an equidigital number, since it uses as much as digits as its factorization.

110123121133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 110123121133 its reverse (331121321011), we get a palindrome (441244442144).

The spelling of 110123121133 in words is "one hundred ten billion, one hundred twenty-three million, one hundred twenty-one thousand, one hundred thirty-three".