110121222110220 has 576 divisors, whose sum is σ = 377333005271040. Its totient is φ = 26853410967552.

The previous prime is 110121222110143. The next prime is 110121222110321. The reversal of 110121222110220 is 22011222121011.

110121222110220 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 212 + 221 + 10 + 220 = 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 = 110121222110193 and 110121222110202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 450900501 + ... + 451144659.

It is an arithmetic number, because the mean of its divisors is an integer number (655092023040).

Almost surely, 2^{110121222110220} is an apocalyptic number.

110121222110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110121222110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188666502635520).

110121222110220 is an abundant number, since it is smaller than the sum of its proper divisors (267211783160820).

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

110121222110220 is a wasteful number, since it uses less digits than its factorization.

110121222110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244356 (or 244342 counting only the distinct ones).

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

Adding to 110121222110220 its reverse (22011222121011), we get a palindrome (132132444231231).

The spelling of 110121222110220 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred ten thousand, two hundred twenty".