110123100321217 has 2 divisors, whose sum is σ = 110123100321218. Its totient is φ = 110123100321216.

The previous prime is 110123100321119. The next prime is 110123100321239. The reversal of 110123100321217 is 712123001321011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110121706344321 + 1393976896 = 10493889^2 + 37336^2 .

It is a cyclic number.

It is not a de Polignac number, because 110123100321217 - 2⁷ = 110123100321089 is a prime.

It is a super-2 number, since 2×110123100321217² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110123100321191 and 110123100321200.

It is not a weakly prime, because it can be changed into another prime (110123100328217) 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, 55061550160608 + 55061550160609.

It is an arithmetic number, because the mean of its divisors is an integer number (55061550160609).

Almost surely, 2^{110123100321217} is an apocalyptic number.

It is an amenable number.

110123100321217 is a deficient number, since it is larger than the sum of its proper divisors (1).

110123100321217 is an equidigital number, since it uses as much as digits as its factorization.

110123100321217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

Adding to 110123100321217 its reverse (712123001321011), we get a palindrome (822246101642228).

The spelling of 110123100321217 in words is "one hundred ten trillion, one hundred twenty-three billion, one hundred million, three hundred twenty-one thousand, two hundred seventeen".