110100112200 has 576 divisors, whose sum is σ = 418475715840. Its totient is φ = 25738352640.

The previous prime is 110100112181. The next prime is 110100112207. The reversal of 110100112200 is 2211001011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110100112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84496749 + ... + 84498051.

It is an arithmetic number, because the mean of its divisors is an integer number (726520340).

Almost surely, 2^110100112200 is an apocalyptic number.

110100112200 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 110100112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209237857920).

110100112200 is an abundant number, since it is smaller than the sum of its proper divisors (308375603640).

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

110100112200 is a wasteful number, since it uses less digits than its factorization.

110100112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110100112200 its reverse (2211001011), we get a palindrome (112311113211).

The spelling of 110100112200 in words is "one hundred ten billion, one hundred million, one hundred twelve thousand, two hundred".