110110122121122 has 96 divisors (see below), whose sum is σ = 249673855901184. Its totient is φ = 35030873088000.

The previous prime is 110110122121117. The next prime is 110110122121151. The reversal of 110110122121122 is 221121221011011.

It is a happy number.

110110122121122 is a `hidden beast` number, since 110 + 1 + 101 + 221 + 211 + 22 = 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 = 110110122121095 and 110110122121104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10682913 + ... + 18285099.

It is an arithmetic number, because the mean of its divisors is an integer number (2600769332304).

Almost surely, 2^{110110122121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110122121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124836927950592).

110110122121122 is an abundant number, since it is smaller than the sum of its proper divisors (139563733780062).

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

110110122121122 is a wasteful number, since it uses less digits than its factorization.

110110122121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7602584 (or 7602581 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110110122121122 its reverse (221121221011011), we get a palindrome (331231343132133).

The spelling of 110110122121122 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".