110101201200 has 180 divisors, whose sum is σ = 382221036288. Its totient is φ = 29349619200.

The previous prime is 110101201157. The next prime is 110101201201. The reversal of 110101201200 is 2102101011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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 (110101201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17554065 + ... + 17560335.

Almost surely, 2^110101201200 is an apocalyptic number.

110101201200 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 110101201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191110518144).

110101201200 is an abundant number, since it is smaller than the sum of its proper divisors (272119835088).

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

110101201200 is a wasteful number, since it uses less digits than its factorization.

110101201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11172 (or 11158 counting only the distinct ones).

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

Adding to 110101201200 its reverse (2102101011), we get a palindrome (112203302211).

The spelling of 110101201200 in words is "one hundred ten billion, one hundred one million, two hundred one thousand, two hundred".