110110200221120 has 336 divisors, whose sum is σ = 291075311493120. Its totient is φ = 39642364016640.

The previous prime is 110110200221111. The next prime is 110110200221123. The reversal of 110110200221120 is 21122002011011.

It is a junction number, because it is equal to n+sod(n) for n = 110110200221095 and 110110200221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110200221123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2394770291 + ... + 2394816269.

It is an arithmetic number, because the mean of its divisors is an integer number (866295569920).

Almost surely, 2^{110110200221120} is an apocalyptic number.

110110200221120 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 110110200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145537655746560).

110110200221120 is an abundant number, since it is smaller than the sum of its proper divisors (180965111272000).

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

110110200221120 is a wasteful number, since it uses less digits than its factorization.

110110200221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46632 (or 46611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110110200221120 its reverse (21122002011011), we get a palindrome (131232202232131).

The spelling of 110110200221120 in words is "one hundred ten trillion, one hundred ten billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".