110221022011122 has 480 divisors, whose sum is σ = 309604729896000. Its totient is φ = 29088425963520.

The previous prime is 110221022011073. The next prime is 110221022011147. The reversal of 110221022011122 is 221110220122011.

110221022011122 is a `hidden beast` number, since 1 + 102 + 210 + 220 + 11 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110221022011095 and 110221022011104.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 272049754 + ... + 272454602.

It is an arithmetic number, because the mean of its divisors is an integer number (645009853950).

Almost surely, 2^{110221022011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221022011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154802364948000).

110221022011122 is an abundant number, since it is smaller than the sum of its proper divisors (199383707884878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110221022011122 is a wasteful number, since it uses less digits than its factorization.

110221022011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404964 (or 404944 counting only the distinct ones).

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

Adding to 110221022011122 its reverse (221110220122011), we get a palindrome (331331242133133).

The spelling of 110221022011122 in words is "one hundred ten trillion, two hundred twenty-one billion, twenty-two million, eleven thousand, one hundred twenty-two".