220421132100 has 216 divisors, whose sum is σ = 768046452992. Its totient is φ = 52507180800.

The previous prime is 220421132059. The next prime is 220421132111. The reversal of 220421132100 is 1231124022.

It is a happy number.

220421132100 is a `hidden beast` number, since 2 + 20 + 421 + 13 + 210 + 0 = 666.

220421132100 is digitally balanced in base 2, 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 (18).

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 71 ways as a sum of consecutive naturals, for example, 58839 + ... + 666561.

Almost surely, 2^220421132100 is an apocalyptic number.

220421132100 is a gapful number since it is divisible by the number (20) 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 220421132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384023226496).

220421132100 is an abundant number, since it is smaller than the sum of its proper divisors (547625320892).

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

220421132100 is a wasteful number, since it uses less digits than its factorization.

220421132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607787 (or 607777 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220421132100 its reverse (1231124022), we get a palindrome (221652256122).

The spelling of 220421132100 in words is "two hundred twenty billion, four hundred twenty-one million, one hundred thirty-two thousand, one hundred".