110122102220221 has 36 divisors (see below), whose sum is σ = 138882121329204. Its totient is φ = 87023443852800.

The previous prime is 110122102220213. The next prime is 110122102220233. The reversal of 110122102220221 is 122022201221011.

It can be written as a sum of positive squares in 6 ways, for example, as 41550271402500 + 68571830817721 = 6445950^2 + 8280811^2 .

It is not a de Polignac number, because 110122102220221 - 2³ = 110122102220213 is a prime.

It is a super-3 number, since 3×110122102220221³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122102220521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1300060 + ... + 14897461.

It is an arithmetic number, because the mean of its divisors is an integer number (3857836703589).

Almost surely, 2^{110122102220221} is an apocalyptic number.

It is an amenable number.

110122102220221 is a deficient number, since it is larger than the sum of its proper divisors (28760019108983).

110122102220221 is a wasteful number, since it uses less digits than its factorization.

110122102220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16198382 (or 16198362 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 110122102220221 its reverse (122022201221011), we get a palindrome (232144303441232).

The spelling of 110122102220221 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty thousand, two hundred twenty-one".