100221300 has 90 divisors (see below), whose sum is σ = 324904118. Its totient is φ = 26723520.

The previous prime is 100221299. The next prime is 100221311. The reversal of 100221300 is 3122001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6441444 + 93779856 = 2538^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-4 number, since 4×100221300⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1914 + ... + 14286.

Almost surely, 2^100221300 is an apocalyptic number.

100221300 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 100221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162452059).

100221300 is an abundant number, since it is smaller than the sum of its proper divisors (224682818).

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

100221300 is a wasteful number, since it uses less digits than its factorization.

100221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12399 (or 12383 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100221300 is about 10011.0588850531. The cubic root of 100221300 is about 464.5010256346.

Adding to 100221300 its reverse (3122001), we get a palindrome (103343301).

The spelling of 100221300 in words is "one hundred million, two hundred twenty-one thousand, three hundred".