21222011202210 has 768 divisors, whose sum is σ = 73983732286464. Its totient is φ = 4092820586496.

The previous prime is 21222011202187. The next prime is 21222011202241. The reversal of 21222011202210 is 1220211022212.

It is a happy number.

21222011202210 is a `hidden beast` number, since 2 + 122 + 201 + 120 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3054841957 + ... + 3054848903.

It is an arithmetic number, because the mean of its divisors is an integer number (96332984748).

Almost surely, 2^{21222011202210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222011202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36991866143232).

21222011202210 is an abundant number, since it is smaller than the sum of its proper divisors (52761721084254).

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

21222011202210 is a wasteful number, since it uses less digits than its factorization.

21222011202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627 (or 7624 counting only the distinct ones).

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

Adding to 21222011202210 its reverse (1220211022212), we get a palindrome (22442222224422).

The spelling of 21222011202210 in words is "twenty-one trillion, two hundred twenty-two billion, eleven million, two hundred two thousand, two hundred ten".