2123312100 has 432 divisors, whose sum is σ = 7912993536. Its totient is φ = 435456000.

The previous prime is 2123312099. The next prime is 2123312167. The reversal of 2123312100 is 12133212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2123312100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7834965 + ... + 7835235.

Almost surely, 2^2123312100 is an apocalyptic number.

2123312100 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 2123312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956496768).

2123312100 is an abundant number, since it is smaller than the sum of its proper divisors (5789681436).

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

2123312100 is a wasteful number, since it uses less digits than its factorization.

2123312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2123312100 is about 46079.4108035248. The cubic root of 2123312100 is about 1285.3003078140.

Adding to 2123312100 its reverse (12133212), we get a palindrome (2135445312).

It can be divided in two parts, 21233 and 12100, that added together give a palindrome (33333).

The spelling of 2123312100 in words is "two billion, one hundred twenty-three million, three hundred twelve thousand, one hundred".