221020000120220 has 192 divisors, whose sum is σ = 564128893440000. Its totient is φ = 71006199914496.

The previous prime is 221020000120133. The next prime is 221020000120243. The reversal of 221020000120220 is 22021000020122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221020000120195 and 221020000120204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2644402391 + ... + 2644485969.

It is an arithmetic number, because the mean of its divisors is an integer number (2938171320000).

Almost surely, 2^{221020000120220} is an apocalyptic number.

221020000120220 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 221020000120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282064446720000).

221020000120220 is an abundant number, since it is smaller than the sum of its proper divisors (343108893319780).

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

221020000120220 is a wasteful number, since it uses less digits than its factorization.

221020000120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88500 (or 88498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221020000120220 its reverse (22021000020122), we get a palindrome (243041000140342).

The spelling of 221020000120220 in words is "two hundred twenty-one trillion, twenty billion, one hundred twenty thousand, two hundred twenty".