2100123340 has 72 divisors (see below), whose sum is σ = 5146333920. Its totient is φ = 717792768.

The previous prime is 2100123323. The next prime is 2100123343. The reversal of 2100123340 is 433210012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2100123343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327081 + ... + 333439.

It is an arithmetic number, because the mean of its divisors is an integer number (71476860).

Almost surely, 2^2100123340 is an apocalyptic number.

2100123340 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 2100123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573166960).

2100123340 is an abundant number, since it is smaller than the sum of its proper divisors (3046210580).

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

2100123340 is a wasteful number, since it uses less digits than its factorization.

2100123340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2100123340 is about 45827.1026795280. The cubic root of 2100123340 is about 1280.6042353910.

Adding to 2100123340 its reverse (433210012), we get a palindrome (2533333352).

The spelling of 2100123340 in words is "two billion, one hundred million, one hundred twenty-three thousand, three hundred forty".