100220221300 has 72 divisors (see below), whose sum is σ = 225056142360. Its totient is φ = 38692147200.

The previous prime is 100220221289. The next prime is 100220221301. The reversal of 100220221300 is 3122022001.

It can be written as a sum of positive squares in 12 ways, for example, as 67129700836 + 33090520464 = 259094^2 + 181908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220221301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13223112 + ... + 13230688.

It is an arithmetic number, because the mean of its divisors is an integer number (3125779755).

Almost surely, 2^100220221300 is an apocalyptic number.

100220221300 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 100220221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112528071180).

100220221300 is an abundant number, since it is smaller than the sum of its proper divisors (124835921060).

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

100220221300 is a wasteful number, since it uses less digits than its factorization.

100220221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12181 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100220221300 its reverse (3122022001), we get a palindrome (103342243301).

The spelling of 100220221300 in words is "one hundred billion, two hundred twenty million, two hundred twenty-one thousand, three hundred".