2122330100 has 72 divisors (see below), whose sum is σ = 5032365408. Its totient is φ = 770492800.

The previous prime is 2122330061. The next prime is 2122330103. The reversal of 2122330100 is 10332212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122330103) 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 23 ways as a sum of consecutive naturals, for example, 908534 + ... + 910866.

It is an arithmetic number, because the mean of its divisors is an integer number (69893964).

Almost surely, 2^2122330100 is an apocalyptic number.

2122330100 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 2122330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516182704).

2122330100 is an abundant number, since it is smaller than the sum of its proper divisors (2910035308).

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

2122330100 is a wasteful number, since it uses less digits than its factorization.

2122330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2122330100 is about 46068.7540530455. The cubic root of 2122330100 is about 1285.1021332216.

Adding to 2122330100 its reverse (10332212), we get a palindrome (2132662312).

The spelling of 2122330100 in words is "two billion, one hundred twenty-two million, three hundred thirty thousand, one hundred".