221234100120 has 256 divisors, whose sum is σ = 808041484800. Its totient is φ = 53395591680.

The previous prime is 221234100089. The next prime is 221234100127. The reversal of 221234100120 is 21001432122.

It is a happy number.

221234100120 is a `hidden beast` number, since 221 + 23 + 410 + 0 + 12 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221234100093 and 221234100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221234100127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2655742 + ... + 2737778.

It is an arithmetic number, because the mean of its divisors is an integer number (3156412050).

Almost surely, 2^221234100120 is an apocalyptic number.

221234100120 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 221234100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404020742400).

221234100120 is an abundant number, since it is smaller than the sum of its proper divisors (586807384680).

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

221234100120 is a wasteful number, since it uses less digits than its factorization.

221234100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82295 (or 82285 counting only the distinct ones).

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

Adding to 221234100120 its reverse (21001432122), we get a palindrome (242235532242).

The spelling of 221234100120 in words is "two hundred twenty-one billion, two hundred thirty-four million, one hundred thousand, one hundred twenty".