110100011101200 has 720 divisors, whose sum is σ = 403969554293760. Its totient is φ = 27714003102720.

The previous prime is 110100011101187. The next prime is 110100011101349. The reversal of 110100011101200 is 2101110001011.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1922007759 + ... + 1922065041.

It is an arithmetic number, because the mean of its divisors is an integer number (561068825408).

Almost surely, 2^{110100011101200} is an apocalyptic number.

110100011101200 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 110100011101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201984777146880).

110100011101200 is an abundant number, since it is smaller than the sum of its proper divisors (293869543192560).

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

110100011101200 is a wasteful number, since it uses less digits than its factorization.

110100011101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57636 (or 57622 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110100011101200 its reverse (2101110001011), we get a palindrome (112201121102211).

The spelling of 110100011101200 in words is "one hundred ten trillion, one hundred billion, eleven million, one hundred one thousand, two hundred".