110121221001220 has 192 divisors, whose sum is σ = 271998367280640. Its totient is φ = 36920978841600.

The previous prime is 110121221001193. The next prime is 110121221001223. The reversal of 110121221001220 is 22100122121011.

It is a junction number, because it is equal to n+sod(n) for n = 110121221001194 and 110121221001203.

It is not an unprimeable number, because it can be changed into a prime (110121221001223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11578296265 + ... + 11578305775.

It is an arithmetic number, because the mean of its divisors is an integer number (1416658162920).

Almost surely, 2^{110121221001220} is an apocalyptic number.

110121221001220 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 110121221001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135999183640320).

110121221001220 is an abundant number, since it is smaller than the sum of its proper divisors (161877146279420).

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

110121221001220 is a wasteful number, since it uses less digits than its factorization.

110121221001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13806 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110121221001220 its reverse (22100122121011), we get a palindrome (132221343122231).

The spelling of 110121221001220 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred twenty-one million, one thousand, two hundred twenty".