211221022010020 has 24 divisors (see below), whose sum is σ = 483888159514368. Its totient is φ = 76807644367200.

The previous prime is 211221022009999. The next prime is 211221022010029. The reversal of 211221022010020 is 20010220122112.

It is a happy number.

It is a super-2 number, since 2×211221022010020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221022009976 and 211221022010003.

It is not an unprimeable number, because it can be changed into a prime (211221022010029) 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 7 ways as a sum of consecutive naturals, for example, 480047777076 + ... + 480047777515.

It is an arithmetic number, because the mean of its divisors is an integer number (20162006646432).

Almost surely, 2^{211221022010020} is an apocalyptic number.

211221022010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221022010020 is an abundant number, since it is smaller than the sum of its proper divisors (272667137504348).

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

211221022010020 is a wasteful number, since it uses less digits than its factorization.

211221022010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960095554611 (or 960095554609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211221022010020 its reverse (20010220122112), we get a palindrome (231231242132132).

The spelling of 211221022010020 in words is "two hundred eleven trillion, two hundred twenty-one billion, twenty-two million, ten thousand, twenty".