221120212100022 has 128 divisors (see below), whose sum is σ = 505208933898240. Its totient is φ = 71649283860000.

The previous prime is 221120212100009. The next prime is 221120212100089. The reversal of 221120212100022 is 220001212021122.

It is a happy number.

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 = 221120212099968 and 221120212100004.

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, 438608397 + ... + 439112247.

It is an arithmetic number, because the mean of its divisors is an integer number (3946944796080).

Almost surely, 2^{221120212100022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221120212100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252604466949120).

221120212100022 is an abundant number, since it is smaller than the sum of its proper divisors (284088721798218).

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

221120212100022 is a wasteful number, since it uses less digits than its factorization.

221120212100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504807 (or 504801 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221120212100022 its reverse (220001212021122), we get a palindrome (441121424121144).

The spelling of 221120212100022 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred twelve million, one hundred thousand, twenty-two".