110001013200 has 600 divisors, whose sum is σ = 427821055200. Its totient is φ = 26907448320.

The previous prime is 110001013151. The next prime is 110001013201. The reversal of 110001013200 is 2310100011.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001013201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75394071 + ... + 75395529.

It is an arithmetic number, because the mean of its divisors is an integer number (713035092).

Almost surely, 2^110001013200 is an apocalyptic number.

110001013200 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 110001013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213910527600).

110001013200 is an abundant number, since it is smaller than the sum of its proper divisors (317820042000).

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

110001013200 is a wasteful number, since it uses less digits than its factorization.

110001013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110001013200 its reverse (2310100011), we get a palindrome (112311113211).

The spelling of 110001013200 in words is "one hundred ten billion, one million, thirteen thousand, two hundred".