103303121102000 has 160 divisors (see below), whose sum is σ = 257060516341824. Its totient is φ = 40122561024000.

The previous prime is 103303121101993. The next prime is 103303121102003. The reversal of 103303121102000 is 201121303301.

103303121102000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 103303121102000.

It is not an unprimeable number, because it can be changed into a prime (103303121102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34912424 + ... + 37755576.

Almost surely, 2^{103303121102000} is an apocalyptic number.

103303121102000 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 103303121102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128530258170912).

103303121102000 is an abundant number, since it is smaller than the sum of its proper divisors (153757395239824).

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

103303121102000 is a wasteful number, since it uses less digits than its factorization.

103303121102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843704 (or 2843688 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 103303121102000 its reverse (201121303301), we get a palindrome (103504242405301).

The spelling of 103303121102000 in words is "one hundred three trillion, three hundred three billion, one hundred twenty-one million, one hundred two thousand".