110001122212221 has 24 divisors (see below), whose sum is σ = 168811911704280. Its totient is φ = 68891662740096.

The previous prime is 110001122212169. The next prime is 110001122212229. The reversal of 110001122212221 is 122212221100011.

110001122212221 is a `hidden beast` number, since 110 + 0 + 0 + 1 + 122 + 212 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51508453409721 + 58492668802500 = 7176939^2 + 7648050^2 .

It is not a de Polignac number, because 110001122212221 - 2⁹ = 110001122211709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110001122212194 and 110001122212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001122212229) 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 in 23 ways as a sum of consecutive naturals, for example, 5695398970 + ... + 5695418283.

It is an arithmetic number, because the mean of its divisors is an integer number (7033829654345).

Almost surely, 2^{110001122212221} is an apocalyptic number.

It is an amenable number.

110001122212221 is a deficient number, since it is larger than the sum of its proper divisors (58810789492059).

110001122212221 is a wasteful number, since it uses less digits than its factorization.

110001122212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11390817325 (or 11390817322 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110001122212221 its reverse (122212221100011), we get a palindrome (232213343312232).

The spelling of 110001122212221 in words is "one hundred ten trillion, one billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".