110103330030100 has 144 divisors (see below), whose sum is σ = 262173706058880. Its totient is φ = 39802730252800.

The previous prime is 110103330030049. The next prime is 110103330030139. The reversal of 110103330030100 is 1030033301011.

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 47 ways as a sum of consecutive naturals, for example, 3566777466 + ... + 3566808334.

It is an arithmetic number, because the mean of its divisors is an integer number (1820650736520).

Almost surely, 2^{110103330030100} is an apocalyptic number.

110103330030100 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 110103330030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131086853029440).

110103330030100 is an abundant number, since it is smaller than the sum of its proper divisors (152070376028780).

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

110103330030100 is a wasteful number, since it uses less digits than its factorization.

110103330030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49810 (or 49803 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 110103330030100 its reverse (1030033301011), we get a palindrome (111133363331111).

The spelling of 110103330030100 in words is "one hundred ten trillion, one hundred three billion, three hundred thirty million, thirty thousand, one hundred".