211221112011020 has 48 divisors (see below), whose sum is σ = 457877423136000. Its totient is φ = 81762196642560.

The previous prime is 211221112010999. The next prime is 211221112011089. The reversal of 211221112011020 is 20110211122112.

It is a super-2 number, since 2×211221112011020² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211221112011020.

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 15 ways as a sum of consecutive naturals, for example, 62555366 + ... + 65845394.

It is an arithmetic number, because the mean of its divisors is an integer number (9539112982000).

Almost surely, 2^{211221112011020} is an apocalyptic number.

211221112011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221112011020 is an abundant number, since it is smaller than the sum of its proper divisors (246656311124980).

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

211221112011020 is a wasteful number, since it uses less digits than its factorization.

211221112011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393618 (or 3393616 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211221112011020 its reverse (20110211122112), we get a palindrome (231331323133132).

The spelling of 211221112011020 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred twelve million, eleven thousand, twenty".