103321101100 has 144 divisors (see below), whose sum is σ = 267032908800. Its totient is φ = 34670126400.

The previous prime is 103321101089. The next prime is 103321101109. The reversal of 103321101100 is 1101123301.

It is not an unprimeable number, because it can be changed into a prime (103321101109) by changing a digit.

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, 1580055 + ... + 1644145.

It is an arithmetic number, because the mean of its divisors is an integer number (1854395200).

Almost surely, 2^103321101100 is an apocalyptic number.

103321101100 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 103321101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133516454400).

103321101100 is an abundant number, since it is smaller than the sum of its proper divisors (163711807700).

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

103321101100 is a wasteful number, since it uses less digits than its factorization.

103321101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64173 (or 64152 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 103321101100 its reverse (1101123301), we get a palindrome (104422224401).

The spelling of 103321101100 in words is "one hundred three billion, three hundred twenty-one million, one hundred one thousand, one hundred".