103003221443100 has 288 divisors, whose sum is σ = 326529363283200. Its totient is φ = 24861937152000.

The previous prime is 103003221443077. The next prime is 103003221443119. The reversal of 103003221443100 is 1344122300301.

It is a happy number.

103003221443100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103003221443100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5486765314 + ... + 5486784086.

It is an arithmetic number, because the mean of its divisors is an integer number (1133782511400).

Almost surely, 2^{103003221443100} is an apocalyptic number.

103003221443100 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 103003221443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163264681641600).

103003221443100 is an abundant number, since it is smaller than the sum of its proper divisors (223526141840100).

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

103003221443100 is a wasteful number, since it uses less digits than its factorization.

103003221443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25941 (or 25934 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103003221443100 its reverse (1344122300301), we get a palindrome (104347343743401).

The spelling of 103003221443100 in words is "one hundred three trillion, three billion, two hundred twenty-one million, four hundred forty-three thousand, one hundred".