110022201111200 has 144 divisors (see below), whose sum is σ = 306993098934144. Its totient is φ = 37718068608000.

The previous prime is 110022201111149. The next prime is 110022201111233. The reversal of 110022201111200 is 2111102220011.

110022201111200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54453437 + ... + 56437763.

It is an arithmetic number, because the mean of its divisors is an integer number (2131896520376).

Almost surely, 2^{110022201111200} is an apocalyptic number.

110022201111200 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 110022201111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153496549467072).

110022201111200 is an abundant number, since it is smaller than the sum of its proper divisors (196970897822944).

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

110022201111200 is a wasteful number, since it uses less digits than its factorization.

110022201111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994255 (or 1994242 counting only the distinct ones).

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

Adding to 110022201111200 its reverse (2111102220011), we get a palindrome (112133303331211).

The spelling of 110022201111200 in words is "one hundred ten trillion, twenty-two billion, two hundred one million, one hundred eleven thousand, two hundred".