2010211120 has 80 divisors (see below), whose sum is σ = 4841618688. Its totient is φ = 775388160.

The previous prime is 2010211069. The next prime is 2010211123. The reversal of 2010211120 is 211120102.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2010211097 and 2010211106.

It is not an unprimeable number, because it can be changed into a prime (2010211123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784882 + ... + 787438.

Almost surely, 2^2010211120 is an apocalyptic number.

2010211120 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 2010211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420809344).

2010211120 is an abundant number, since it is smaller than the sum of its proper divisors (2831407568).

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

2010211120 is a wasteful number, since it uses less digits than its factorization.

2010211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2912 counting only the distinct ones).

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

The square root of 2010211120 is about 44835.3779955071. The cubic root of 2010211120 is about 1262.0616119334.

Adding to 2010211120 its reverse (211120102), we get a palindrome (2221331222).

The spelling of 2010211120 in words is "two billion, ten million, two hundred eleven thousand, one hundred twenty".