2124042100 has 36 divisors (see below), whose sum is σ = 4635851724. Its totient is φ = 844698880.

The previous prime is 2124042083. The next prime is 2124042133. The reversal of 2124042100 is 12404212.

It can be written as a sum of positive squares in 6 ways, for example, as 128097124 + 1995944976 = 11318^2 + 44676^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44089 + ... + 78688.

It is an arithmetic number, because the mean of its divisors is an integer number (128773659).

Almost surely, 2^2124042100 is an apocalyptic number.

2124042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124042100 is an abundant number, since it is smaller than the sum of its proper divisors (2511809624).

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

2124042100 is a wasteful number, since it uses less digits than its factorization.

2124042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122964 (or 122957 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2124042100 is about 46087.3312310444. The cubic root of 2124042100 is about 1285.4475874216.

Adding to 2124042100 its reverse (12404212), we get a palindrome (2136446312).

The spelling of 2124042100 in words is "two billion, one hundred twenty-four million, forty-two thousand, one hundred".