2123450100 has 144 divisors (see below), whose sum is σ = 6846436800. Its totient is φ = 564600960.

The previous prime is 2123450071. The next prime is 2123450101. The reversal of 2123450100 is 10543212.

2123450100 is a `hidden beast` number, since 212 + 3 + 450 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123450101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1130362 + ... + 1132238.

It is an arithmetic number, because the mean of its divisors is an integer number (47544700).

Almost surely, 2^2123450100 is an apocalyptic number.

2123450100 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 2123450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423218400).

2123450100 is an abundant number, since it is smaller than the sum of its proper divisors (4722986700).

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

2123450100 is a wasteful number, since it uses less digits than its factorization.

2123450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2123450100 is about 46080.9081941752. The cubic root of 2123450100 is about 1285.3281522997.

Adding to 2123450100 its reverse (10543212), we get a palindrome (2133993312).

The spelling of 2123450100 in words is "two billion, one hundred twenty-three million, four hundred fifty thousand, one hundred".