110011102011200 has 168 divisors, whose sum is σ = 291539359187832. Its totient is φ = 40616625070080.

The previous prime is 110011102011179. The next prime is 110011102011233. The reversal of 110011102011200 is 2110201110011.

It can be written as a sum of positive squares in 12 ways, for example, as 88514377771264 + 21496724239936 = 9408208^2 + 4636456^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307598882 + ... + 307956318.

It is an arithmetic number, because the mean of its divisors is an integer number (1735353328499).

Almost surely, 2^{110011102011200} is an apocalyptic number.

110011102011200 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 110011102011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145769679593916).

110011102011200 is an abundant number, since it is smaller than the sum of its proper divisors (181528257176632).

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

110011102011200 is a wasteful number, since it uses less digits than its factorization.

110011102011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372269 (or 372254 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110011102011200 its reverse (2110201110011), we get a palindrome (112121303121211).

The spelling of 110011102011200 in words is "one hundred ten trillion, eleven billion, one hundred two million, eleven thousand, two hundred".