2100120210 has 96 divisors (see below), whose sum is σ = 5740600320. Its totient is φ = 552313728.

The previous prime is 2100120157. The next prime is 2100120221. The reversal of 2100120210 is 120210012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100120192 and 2100120201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171471 + ... + 183309.

It is an arithmetic number, because the mean of its divisors is an integer number (59797920).

Almost surely, 2^2100120210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870300160).

2100120210 is an abundant number, since it is smaller than the sum of its proper divisors (3640480110).

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

2100120210 is a wasteful number, since it uses less digits than its factorization.

2100120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11934 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100120210 is about 45827.0685294183. The cubic root of 2100120210 is about 1280.6035991913.

Adding to 2100120210 its reverse (120210012), we get a palindrome (2220330222).

The spelling of 2100120210 in words is "two billion, one hundred million, one hundred twenty thousand, two hundred ten".