221102320120 has 128 divisors (see below), whose sum is σ = 545512320000. Its totient is φ = 79986009600.

The previous prime is 221102320091. The next prime is 221102320129. The reversal of 221102320120 is 21023201122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221102320094 and 221102320103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102320129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147499131 + ... + 147500629.

It is an arithmetic number, because the mean of its divisors is an integer number (4261815000).

Almost surely, 2^221102320120 is an apocalyptic number.

221102320120 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 221102320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272756160000).

221102320120 is an abundant number, since it is smaller than the sum of its proper divisors (324409999880).

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

221102320120 is a wasteful number, since it uses less digits than its factorization.

221102320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 221102320120 its reverse (21023201122), we get a palindrome (242125521242).

The spelling of 221102320120 in words is "two hundred twenty-one billion, one hundred two million, three hundred twenty thousand, one hundred twenty".