110110100221123 has 2 divisors, whose sum is σ = 110110100221124. Its totient is φ = 110110100221122.

The previous prime is 110110100221103. The next prime is 110110100221207. The reversal of 110110100221123 is 321122001011011.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 110110100221123 - 2¹⁷ = 110110100090051 is a prime.

It is a super-2 number, since 2×110110100221123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110110100221097 and 110110100221106.

It is not a weakly prime, because it can be changed into another prime (110110100221103) 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, 55055050110561 + 55055050110562.

It is an arithmetic number, because the mean of its divisors is an integer number (55055050110562).

Almost surely, 2^{110110100221123} is an apocalyptic number.

110110100221123 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110100221123 is an equidigital number, since it uses as much as digits as its factorization.

110110100221123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 110110100221123 its reverse (321122001011011), we get a palindrome (431232101232134).

The spelling of 110110100221123 in words is "one hundred ten trillion, one hundred ten billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-three".