211201222100020 has 48 divisors (see below), whose sum is σ = 444858480939600. Its totient is φ = 84226323636224.

The previous prime is 211201222100009. The next prime is 211201222100083. The reversal of 211201222100020 is 20001222102112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 50751376 + 211201171348644 = 7124^2 + 14532762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211201222099967 and 211201222100003.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2258742 + ... + 20676178.

It is an arithmetic number, because the mean of its divisors is an integer number (9267885019575).

Almost surely, 2^{211201222100020} is an apocalyptic number.

211201222100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201222100020 is an abundant number, since it is smaller than the sum of its proper divisors (233657258839580).

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

211201222100020 is a wasteful number, since it uses less digits than its factorization.

211201222100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18419172 (or 18419170 counting only the distinct ones).

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

Adding to 211201222100020 its reverse (20001222102112), we get a palindrome (231202444202132).

The spelling of 211201222100020 in words is "two hundred eleven trillion, two hundred one billion, two hundred twenty-two million, one hundred thousand, twenty".