110201112200000 has 168 divisors, whose sum is σ = 273736998320184. Its totient is φ = 44015279360000.

The previous prime is 110201112199999. The next prime is 110201112200063. The reversal of 110201112200000 is 2211102011.

It can be written as a sum of positive squares in 12 ways, for example, as 57230314365184 + 52970797834816 = 7565072^2 + 7278104^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 134993054 + ... + 135806946.

It is an arithmetic number, because the mean of its divisors is an integer number (1629386894763).

Almost surely, 2^{110201112200000} is an apocalyptic number.

110201112200000 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 110201112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136868499160092).

110201112200000 is an abundant number, since it is smaller than the sum of its proper divisors (163535886120184).

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

110201112200000 is an frugal number, since it uses more digits than its factorization.

110201112200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814607 (or 814577 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110201112200000 its reverse (2211102011), we get a palindrome (110203323302011).

The spelling of 110201112200000 in words is "one hundred ten trillion, two hundred one billion, one hundred twelve million, two hundred thousand".