110112133320229 has 2 divisors, whose sum is σ = 110112133320230. Its totient is φ = 110112133320228.

The previous prime is 110112133320209. The next prime is 110112133320247. The reversal of 110112133320229 is 922023331211011.

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., 61393101390625 + 48719031929604 = 7835375^2 + 6979902^2 .

It is a cyclic number.

It is not a de Polignac number, because 110112133320229 - 2³⁵ = 110077773581861 is a prime.

It is a super-2 number, since 2×110112133320229² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110112133320229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110112133320209) 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, 55056066660114 + 55056066660115.

It is an arithmetic number, because the mean of its divisors is an integer number (55056066660115).

Almost surely, 2^{110112133320229} is an apocalyptic number.

It is an amenable number.

110112133320229 is a deficient number, since it is larger than the sum of its proper divisors (1).

110112133320229 is an equidigital number, since it uses as much as digits as its factorization.

110112133320229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 110112133320229 in words is "one hundred ten trillion, one hundred twelve billion, one hundred thirty-three million, three hundred twenty thousand, two hundred twenty-nine".