103330012000110 has 384 divisors, whose sum is σ = 294817785937920. Its totient is φ = 22702562136576.

The previous prime is 103330012000063. The next prime is 103330012000139. The reversal of 103330012000110 is 11000210033301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103330012000110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11658577539 + ... + 11658586401.

It is an arithmetic number, because the mean of its divisors is an integer number (767754650880).

Almost surely, 2^{103330012000110} is an apocalyptic number.

103330012000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103330012000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147408892968960).

103330012000110 is an abundant number, since it is smaller than the sum of its proper divisors (191487773937810).

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

103330012000110 is a wasteful number, since it uses less digits than its factorization.

103330012000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440 (or 9403 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103330012000110 its reverse (11000210033301), we get a palindrome (114330222033411).

The spelling of 103330012000110 in words is "one hundred three trillion, three hundred thirty billion, twelve million, one hundred ten", and thus it is an aban number.