221234021100 has 108 divisors (see below), whose sum is σ = 695305907296. Its totient is φ = 58837484160.

The previous prime is 221234021083. The next prime is 221234021101. The reversal of 221234021100 is 1120432122.

It is a happy number.

221234021100 is a `hidden beast` number, since 2 + 212 + 340 + 2 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221234021101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6189 + ... + 665211.

Almost surely, 2^221234021100 is an apocalyptic number.

221234021100 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 221234021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347652953648).

221234021100 is an abundant number, since it is smaller than the sum of its proper divisors (474071886196).

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

221234021100 is a wasteful number, since it uses less digits than its factorization.

221234021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659416 (or 659406 counting only the distinct ones).

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

Adding to 221234021100 its reverse (1120432122), we get a palindrome (222354453222).

The spelling of 221234021100 in words is "two hundred twenty-one billion, two hundred thirty-four million, twenty-one thousand, one hundred".