103321021123300 has 144 divisors (see below), whose sum is σ = 240084704220480. Its totient is φ = 38456736215040.

The previous prime is 103321021123291. The next prime is 103321021123373. The reversal of 103321021123300 is 3321120123301.

It is a super-2 number, since 2×103321021123300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2112577447 + ... + 2112626353.

It is an arithmetic number, because the mean of its divisors is an integer number (1667254890420).

Almost surely, 2^{103321021123300} is an apocalyptic number.

103321021123300 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 103321021123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120042352110240).

103321021123300 is an abundant number, since it is smaller than the sum of its proper divisors (136763683097180).

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

103321021123300 is a wasteful number, since it uses less digits than its factorization.

103321021123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62990 (or 62983 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103321021123300 its reverse (3321120123301), we get a palindrome (106642141246601).

Subtracting from 103321021123300 its reverse (3321120123301), we obtain a palindrome (99999900999999).

The spelling of 103321021123300 in words is "one hundred three trillion, three hundred twenty-one billion, twenty-one million, one hundred twenty-three thousand, three hundred".