211210021120 has 144 divisors (see below), whose sum is σ = 578994232320. Its totient is φ = 72313823232.

The previous prime is 211210021063. The next prime is 211210021207. The reversal of 211210021120 is 21120012112.

It is a self number, because there is not a number n which added to its sum of digits gives 211210021120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6551601 + ... + 6583759.

It is an arithmetic number, because the mean of its divisors is an integer number (4020793280).

Almost surely, 2^211210021120 is an apocalyptic number.

211210021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211210021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289497116160).

211210021120 is an abundant number, since it is smaller than the sum of its proper divisors (367784211200).

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

211210021120 is an equidigital number, since it uses as much as digits as its factorization.

211210021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32920 (or 32906 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211210021120 its reverse (21120012112), we get a palindrome (232330033232).

The spelling of 211210021120 in words is "two hundred eleven billion, two hundred ten million, twenty-one thousand, one hundred twenty".