421222100 has 72 divisors (see below), whose sum is σ = 1018398360. Its totient is φ = 150151680.

The previous prime is 421222093. The next prime is 421222103. The reversal of 421222100 is 1222124.

It can be written as a sum of positive squares in 12 ways, for example, as 188842564 + 232379536 = 13742^2 + 15244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421222103) 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, 32114 + ... + 43286.

Almost surely, 2^421222100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509199180).

421222100 is an abundant number, since it is smaller than the sum of its proper divisors (597176260).

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

421222100 is a wasteful number, since it uses less digits than its factorization.

421222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 421222100 is about 20523.6960608951. The cubic root of 421222100 is about 749.6128965319.

Adding to 421222100 its reverse (1222124), we get a palindrome (422444224).

The spelling of 421222100 in words is "four hundred twenty-one million, two hundred twenty-two thousand, one hundred".