211221222221020 has 24 divisors (see below), whose sum is σ = 483888618179568. Its totient is φ = 76807717171200.

The previous prime is 211221222220963. The next prime is 211221222221071. The reversal of 211221222221020 is 20122222122112.

It is a super-2 number, since 2×211221222221020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211221222220982 and 211221222221000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 480048232101 + ... + 480048232540.

It is an arithmetic number, because the mean of its divisors is an integer number (20162025757482).

Almost surely, 2^{211221222221020} is an apocalyptic number.

211221222221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221222221020 is an abundant number, since it is smaller than the sum of its proper divisors (272667395958548).

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

211221222221020 is a wasteful number, since it uses less digits than its factorization.

211221222221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960096464661 (or 960096464659 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 211221222221020 its reverse (20122222122112), we get a palindrome (231343444343132).

The spelling of 211221222221020 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty".