22022101002220 has 384 divisors, whose sum is σ = 53773590528000. Its totient is φ = 7501346012160.

The previous prime is 22022101002211. The next prime is 22022101002227. The reversal of 22022101002220 is 2220010122022.

It is a junction number, because it is equal to n+sod(n) for n = 22022101002194 and 22022101002203.

It is not an unprimeable number, because it can be changed into a prime (22022101002227) 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 127 ways as a sum of consecutive naturals, for example, 24280155007 + ... + 24280155913.

It is an arithmetic number, because the mean of its divisors is an integer number (140035392000).

Almost surely, 2^{22022101002220} is an apocalyptic number.

22022101002220 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 22022101002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26886795264000).

22022101002220 is an abundant number, since it is smaller than the sum of its proper divisors (31751489525780).

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

22022101002220 is a wasteful number, since it uses less digits than its factorization.

22022101002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22022101002220 its reverse (2220010122022), we get a palindrome (24242111124242).

The spelling of 22022101002220 in words is "twenty-two trillion, twenty-two billion, one hundred one million, two thousand, two hundred twenty".