210211120 has 160 divisors (see below), whose sum is σ = 601675776. Its totient is φ = 66662400.

The previous prime is 210211109. The next prime is 210211121. The reversal of 210211120 is 21112012.

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 = 210211097 and 210211106.

It is not an unprimeable number, because it can be changed into a prime (210211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675765 + ... + 676075.

Almost surely, 2^210211120 is an apocalyptic number.

210211120 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 210211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300837888).

210211120 is an abundant number, since it is smaller than the sum of its proper divisors (391464656).

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

210211120 is a wasteful number, since it uses less digits than its factorization.

210211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

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

The square root of 210211120 is about 14498.6592483581. The cubic root of 210211120 is about 594.5913159926.

Adding to 210211120 its reverse (21112012), we get a palindrome (231323132).

The spelling of 210211120 in words is "two hundred ten million, two hundred eleven thousand, one hundred twenty".