211021120 has 56 divisors (see below), whose sum is σ = 507272544. Its totient is φ = 83606016.

The previous prime is 211021099. The next prime is 211021133. The reversal of 211021120 is 21120112.

211021120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211021097 and 211021106.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 31159 + ... + 37321.

Almost surely, 2^211021120 is an apocalyptic number.

211021120 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 211021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253636272).

211021120 is an abundant number, since it is smaller than the sum of its proper divisors (296251424).

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

211021120 is a wasteful number, since it uses less digits than its factorization.

211021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 211021120 is about 14526.5660085238. The cubic root of 211021120 is about 595.3540439338.

Adding to 211021120 its reverse (21120112), we get a palindrome (232141232).

It can be divided in two parts, 21102 and 1120, that added together give a palindrome (22222).

The spelling of 211021120 in words is "two hundred eleven million, twenty-one thousand, one hundred twenty".