110210221120120 has 384 divisors, whose sum is σ = 281083986328320. Its totient is φ = 38848702464000.

The previous prime is 110210221120039. The next prime is 110210221120127. The reversal of 110210221120120 is 21021122012011.

It is a junction number, because it is equal to n+sod(n) for n = 110210221120094 and 110210221120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110210221120127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4888877569 + ... + 4888900111.

It is an arithmetic number, because the mean of its divisors is an integer number (731989547730).

Almost surely, 2^{110210221120120} is an apocalyptic number.

110210221120120 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 110210221120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140541993164160).

110210221120120 is an abundant number, since it is smaller than the sum of its proper divisors (170873765208200).

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

110210221120120 is a wasteful number, since it uses less digits than its factorization.

110210221120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22887 (or 22872 counting only the distinct ones).

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

Adding to 110210221120120 its reverse (21021122012011), we get a palindrome (131231343132131).

It can be divided in two parts, 1102102 and 21120120, that added together give a palindrome (22222222).

The spelling of 110210221120120 in words is "one hundred ten trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty".