2121320100 has 72 divisors (see below), whose sum is σ = 6168702400. Its totient is φ = 562826880.

The previous prime is 2121320077. The next prime is 2121320147. The reversal of 2121320100 is 10231212.

2121320100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 41934 + ... + 77466.

Almost surely, 2^2121320100 is an apocalyptic number.

2121320100 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 2121320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084351200).

2121320100 is an abundant number, since it is smaller than the sum of its proper divisors (4047382300).

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

2121320100 is a wasteful number, since it uses less digits than its factorization.

2121320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35749 (or 35742 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2121320100 is about 46057.7908719035. The cubic root of 2121320100 is about 1284.8982442501.

Adding to 2121320100 its reverse (10231212), we get a palindrome (2131551312).

The spelling of 2121320100 in words is "two billion, one hundred twenty-one million, three hundred twenty thousand, one hundred".