110003120312201 has 2 divisors, whose sum is σ = 110003120312202. Its totient is φ = 110003120312200.

The previous prime is 110003120312147. The next prime is 110003120312219. The reversal of 110003120312201 is 102213021300011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94280118942025 + 15723001370176 = 9709795^2 + 3965224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110003120312201 is a prime.

It is a super-3 number, since 3×110003120312201³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110003120312201.

It is not a weakly prime, because it can be changed into another prime (110003120312251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55001560156100 + 55001560156101.

It is an arithmetic number, because the mean of its divisors is an integer number (55001560156101).

Almost surely, 2^{110003120312201} is an apocalyptic number.

It is an amenable number.

110003120312201 is a deficient number, since it is larger than the sum of its proper divisors (1).

110003120312201 is an equidigital number, since it uses as much as digits as its factorization.

110003120312201 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 110003120312201 its reverse (102213021300011), we get a palindrome (212216141612212).

The spelling of 110003120312201 in words is "one hundred ten trillion, three billion, one hundred twenty million, three hundred twelve thousand, two hundred one".