110200110013314 has 96 divisors (see below), whose sum is σ = 246767925980160. Its totient is φ = 35505336182400.

The previous prime is 110200110013313. The next prime is 110200110013373. The reversal of 110200110013314 is 413310011002011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110200110013313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2332895704 + ... + 2332942940.

It is an arithmetic number, because the mean of its divisors is an integer number (2570499228960).

Almost surely, 2^{110200110013314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110200110013314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123383962990080).

110200110013314 is an abundant number, since it is smaller than the sum of its proper divisors (136567815966846).

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

110200110013314 is a wasteful number, since it uses less digits than its factorization.

110200110013314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52256 (or 52253 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110200110013314 its reverse (413310011002011), we get a palindrome (523510121015325).

The spelling of 110200110013314 in words is "one hundred ten trillion, two hundred billion, one hundred ten million, thirteen thousand, three hundred fourteen".