2122212100 has 36 divisors (see below), whose sum is σ = 4607806644. Its totient is φ = 848404480.

The previous prime is 2122212091. The next prime is 2122212133. The reversal of 2122212100 is 12122212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 424112836 + 1698099264 = 20594^2 + 41208^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 210372 + ... + 220228.

It is an arithmetic number, because the mean of its divisors is an integer number (127994629).

Almost surely, 2^2122212100 is an apocalyptic number.

2122212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122212100 is an abundant number, since it is smaller than the sum of its proper divisors (2485594544).

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

2122212100 is a wasteful number, since it uses less digits than its factorization.

2122212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12024 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2122212100 is about 46067.4733407423. The cubic root of 2122212100 is about 1285.0783158676.

Adding to 2122212100 its reverse (12122212), we get a palindrome (2134334312).

The spelling of 2122212100 in words is "two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred".