211010120 has 64 divisors (see below), whose sum is σ = 505284480. Its totient is φ = 79031296.

The previous prime is 211010101. The next prime is 211010123. The reversal of 211010120 is 21010112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 211010098 and 211010107.

It is not an unprimeable number, because it can be changed into a prime (211010123) 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 15 ways as a sum of consecutive naturals, for example, 153677 + ... + 155043.

It is an arithmetic number, because the mean of its divisors is an integer number (7895070).

Almost surely, 2^211010120 is an apocalyptic number.

211010120 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 211010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252642240).

211010120 is an abundant number, since it is smaller than the sum of its proper divisors (294274360).

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

211010120 is a wasteful number, since it uses less digits than its factorization.

211010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 211010120 is about 14526.1873869230. The cubic root of 211010120 is about 595.3436989847.

Adding to 211010120 its reverse (21010112), we get a palindrome (232020232).

The spelling of 211010120 in words is "two hundred eleven million, ten thousand, one hundred twenty".