2121232100 has 72 divisors (see below), whose sum is σ = 4974968040. Its totient is φ = 780410880.

The previous prime is 2121232051. The next prime is 2121232177. The reversal of 2121232100 is 12321212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 730837156 + 1390394944 = 27034^2 + 37288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378116 + ... + 383684.

Almost surely, 2^2121232100 is an apocalyptic number.

2121232100 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 2121232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487484020).

2121232100 is an abundant number, since it is smaller than the sum of its proper divisors (2853735940).

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

2121232100 is a wasteful number, since it uses less digits than its factorization.

2121232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2121232100 is about 46056.8355404494. The cubic root of 2121232100 is about 1284.8804766017.

Adding to 2121232100 its reverse (12321212), we get a palindrome (2133553312).

The spelling of 2121232100 in words is "two billion, one hundred twenty-one million, two hundred thirty-two thousand, one hundred".