2142124100 has 72 divisors (see below), whose sum is σ = 4940699400. Its totient is φ = 803358720.

The previous prime is 2142124097. The next prime is 2142124133. The reversal of 2142124100 is 14212412.

It can be written as a sum of positive squares in 12 ways, for example, as 393546244 + 1748577856 = 19838^2 + 41816^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 23 ways as a sum of consecutive naturals, for example, 468626 + ... + 473174.

It is an arithmetic number, because the mean of its divisors is an integer number (68620825).

Almost surely, 2^2142124100 is an apocalyptic number.

2142124100 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 2142124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470349700).

2142124100 is an abundant number, since it is smaller than the sum of its proper divisors (2798575300).

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

2142124100 is a wasteful number, since it uses less digits than its factorization.

2142124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2142124100 is about 46283.0865435744. The cubic root of 2142124100 is about 1289.0849629315.

Adding to 2142124100 its reverse (14212412), we get a palindrome (2156336512).

The spelling of 2142124100 in words is "two billion, one hundred forty-two million, one hundred twenty-four thousand, one hundred".