211022020202220 has 192 divisors, whose sum is σ = 666233214474240. Its totient is φ = 55443068199936.

The previous prime is 211022020202209. The next prime is 211022020202267. The reversal of 211022020202220 is 22202020220112.

211022020202220 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 220 + 20 + 202 + 220 = 666.

It is a super-2 number, since 2×211022020202220² (a number of 29 digits) contains 22 as substring.

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 = 211022020202193 and 211022020202202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10034484 + ... + 22863396.

It is an arithmetic number, because the mean of its divisors is an integer number (3469964658720).

Almost surely, 2^{211022020202220} is an apocalyptic number.

211022020202220 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 211022020202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333116607237120).

211022020202220 is an abundant number, since it is smaller than the sum of its proper divisors (455211194272020).

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

211022020202220 is a wasteful number, since it uses less digits than its factorization.

211022020202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829381 (or 12829373 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 211022020202220 its reverse (22202020220112), we get a palindrome (233224040422332).

The spelling of 211022020202220 in words is "two hundred eleven trillion, twenty-two billion, twenty million, two hundred two thousand, two hundred twenty".