100301221300 has 108 divisors (see below), whose sum is σ = 257481020160. Its totient is φ = 33806028480.

The previous prime is 100301221253. The next prime is 100301221343. The reversal of 100301221300 is 3122103001.

100301221300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115629 + ... + 462571.

It is an arithmetic number, because the mean of its divisors is an integer number (2384083520).

Almost surely, 2^100301221300 is an apocalyptic number.

100301221300 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 100301221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128740510080).

100301221300 is an abundant number, since it is smaller than the sum of its proper divisors (157179798860).

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

100301221300 is a wasteful number, since it uses less digits than its factorization.

100301221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347030 (or 347016 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100301221300 its reverse (3122103001), we get a palindrome (103423324301).

The spelling of 100301221300 in words is "one hundred billion, three hundred one million, two hundred twenty-one thousand, three hundred".