103001121300 has 432 divisors, whose sum is σ = 379310722560. Its totient is φ = 21339360000.

The previous prime is 103001121269. The next prime is 103001121319. The reversal of 103001121300 is 3121100301.

103001121300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70985575 + ... + 70987025.

It is an arithmetic number, because the mean of its divisors is an integer number (878034080).

Almost surely, 2^103001121300 is an apocalyptic number.

103001121300 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 103001121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189655361280).

103001121300 is an abundant number, since it is smaller than the sum of its proper divisors (276309601260).

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

103001121300 is a wasteful number, since it uses less digits than its factorization.

103001121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103001121300 its reverse (3121100301), we get a palindrome (106122221601).

The spelling of 103001121300 in words is "one hundred three billion, one million, one hundred twenty-one thousand, three hundred".