2124121100 has 108 divisors (see below), whose sum is σ = 4974041016. Its totient is φ = 787015680.

The previous prime is 2124121079. The next prime is 2124121163. The reversal of 2124121100 is 11214212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1935752 + ... + 1936848.

Almost surely, 2^2124121100 is an apocalyptic number.

2124121100 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 2124121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487020508).

2124121100 is an abundant number, since it is smaller than the sum of its proper divisors (2849919916).

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

2124121100 is a wasteful number, since it uses less digits than its factorization.

2124121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2124121100 is about 46088.1882915786. The cubic root of 2124121100 is about 1285.4635238761.

Adding to 2124121100 its reverse (11214212), we get a palindrome (2135335312).

The spelling of 2124121100 in words is "two billion, one hundred twenty-four million, one hundred twenty-one thousand, one hundred".