2123132100 has 72 divisors (see below), whose sum is σ = 6151585440. Its totient is φ = 565370880.

The previous prime is 2123132083. The next prime is 2123132107. The reversal of 2123132100 is 12313212.

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 2123132100.

It is not an unprimeable number, because it can be changed into a prime (2123132107) 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, 226099 + ... + 235301.

Almost surely, 2^2123132100 is an apocalyptic number.

2123132100 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 2123132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075792720).

2123132100 is an abundant number, since it is smaller than the sum of its proper divisors (4028453340).

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

2123132100 is a wasteful number, since it uses less digits than its factorization.

2123132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9989 (or 9982 counting only the distinct ones).

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

The square root of 2123132100 is about 46077.4576121556. The cubic root of 2123132100 is about 1285.2639871065.

Adding to 2123132100 its reverse (12313212), we get a palindrome (2135445312).

The spelling of 2123132100 in words is "two billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred".