221234414100 has 288 divisors, whose sum is σ = 757777332480. Its totient is φ = 48759459840.

The previous prime is 221234414083. The next prime is 221234414123. The reversal of 221234414100 is 1414432122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57061362 + ... + 57065238.

Almost surely, 2^221234414100 is an apocalyptic number.

221234414100 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 221234414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378888666240).

221234414100 is an abundant number, since it is smaller than the sum of its proper divisors (536542918380).

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

221234414100 is a wasteful number, since it uses less digits than its factorization.

221234414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221234414100 its reverse (1414432122), we get a palindrome (222648846222).

The spelling of 221234414100 in words is "two hundred twenty-one billion, two hundred thirty-four million, four hundred fourteen thousand, one hundred".