221222020202120 has 256 divisors, whose sum is σ = 610311301447680. Its totient is φ = 70519117363200.

The previous prime is 221222020202089. The next prime is 221222020202123. The reversal of 221222020202120 is 21202020222122.

221222020202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221222020202092 and 221222020202101.

It is not an unprimeable number, because it can be changed into a prime (221222020202123) 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, 70009019 + ... + 73100661.

It is an arithmetic number, because the mean of its divisors is an integer number (2384028521280).

Almost surely, 2^{221222020202120} is an apocalyptic number.

221222020202120 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 221222020202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305155650723840).

221222020202120 is an abundant number, since it is smaller than the sum of its proper divisors (389089281245560).

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

221222020202120 is a wasteful number, since it uses less digits than its factorization.

221222020202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091996 (or 3091992 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 221222020202120 its reverse (21202020222122), we get a palindrome (242424040424242).

The spelling of 221222020202120 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, twenty million, two hundred two thousand, one hundred twenty".