221020211120 has 80 divisors (see below), whose sum is σ = 522789396480. Its totient is φ = 86881939200.

The previous prime is 221020211063. The next prime is 221020211143. The reversal of 221020211120 is 21112020122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 221020211095 and 221020211104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703921 + ... + 1829039.

It is an arithmetic number, because the mean of its divisors is an integer number (6534867456).

Almost surely, 2^221020211120 is an apocalyptic number.

221020211120 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 221020211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261394698240).

221020211120 is an abundant number, since it is smaller than the sum of its proper divisors (301769185360).

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

221020211120 is a wasteful number, since it uses less digits than its factorization.

221020211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125514 (or 125508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221020211120 its reverse (21112020122), we get a palindrome (242132231242).

The spelling of 221020211120 in words is "two hundred twenty-one billion, twenty million, two hundred eleven thousand, one hundred twenty".