110200021120 has 128 divisors (see below), whose sum is σ = 301205543040. Its totient is φ = 37767389184.

The previous prime is 110200021069. The next prime is 110200021181. The reversal of 110200021120 is 21120002011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110200021097 and 110200021106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18602479 + ... + 18608401.

It is an arithmetic number, because the mean of its divisors is an integer number (2353168305).

Almost surely, 2^110200021120 is an apocalyptic number.

110200021120 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 110200021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150602771520).

110200021120 is an abundant number, since it is smaller than the sum of its proper divisors (191005521920).

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

110200021120 is an equidigital number, since it uses as much as digits as its factorization.

110200021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110200021120 its reverse (21120002011), we get a palindrome (131320023131).

The spelling of 110200021120 in words is "one hundred ten billion, two hundred million, twenty-one thousand, one hundred twenty".