211121011220020 has 36 divisors (see below), whose sum is σ = 487323127557252. Its totient is φ = 76771276806400.

The previous prime is 211121011220017. The next prime is 211121011220023. The reversal of 211121011220020 is 20022110121112.

It is an interprime number because it is at equal distance from previous prime (211121011220017) and next prime (211121011220023).

It can be written as a sum of positive squares in 2 ways, for example, as 166708329987364 + 44412681232656 = 12911558^2 + 6664284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211121011219976 and 211121011220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121011220023) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 43620041221 + ... + 43620046060.

It is an arithmetic number, because the mean of its divisors is an integer number (13536753543257).

Almost surely, 2^{211121011220020} is an apocalyptic number.

211121011220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121011220020 is an abundant number, since it is smaller than the sum of its proper divisors (276202116337232).

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

211121011220020 is a wasteful number, since it uses less digits than its factorization.

211121011220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87240087312 (or 87240087299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211121011220020 its reverse (20022110121112), we get a palindrome (231143121341132).

The spelling of 211121011220020 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, two hundred twenty thousand, twenty".