103323330020100 has 144 divisors (see below), whose sum is σ = 302838625837440. Its totient is φ = 27196304256000.

The previous prime is 103323330020089. The next prime is 103323330020111. The reversal of 103323330020100 is 1020033323301.

It is an interprime number because it is at equal distance from previous prime (103323330020089) and next prime (103323330020111).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2593000 + ... + 14607200.

It is an arithmetic number, because the mean of its divisors is an integer number (2103046012760).

Almost surely, 2^{103323330020100} is an apocalyptic number.

103323330020100 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 103323330020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151419312918720).

103323330020100 is an abundant number, since it is smaller than the sum of its proper divisors (199515295817340).

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

103323330020100 is a wasteful number, since it uses less digits than its factorization.

103323330020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014590 (or 12014583 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 103323330020100 its reverse (1020033323301), we get a palindrome (104343363343401).

The spelling of 103323330020100 in words is "one hundred three trillion, three hundred twenty-three billion, three hundred thirty million, twenty thousand, one hundred".