110022012200200 has 768 divisors, whose sum is σ = 289601014348800. Its totient is φ = 38685573120000.

The previous prime is 110022012200179. The next prime is 110022012200203. The reversal of 110022012200200 is 2002210220011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (110022012200203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93160043610 + ... + 93160044790.

It is an arithmetic number, because the mean of its divisors is an integer number (377084654100).

Almost surely, 2^{110022012200200} is an apocalyptic number.

110022012200200 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 110022012200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144800507174400).

110022012200200 is an abundant number, since it is smaller than the sum of its proper divisors (179579002148600).

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

110022012200200 is a wasteful number, since it uses less digits than its factorization.

110022012200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 110022012200200 its reverse (2002210220011), we get a palindrome (112024222420211).

The spelling of 110022012200200 in words is "one hundred ten trillion, twenty-two billion, twelve million, two hundred thousand, two hundred".