2124441240100 has 36 divisors (see below), whose sum is σ = 4640977372500. Its totient is φ = 844073292160.

The previous prime is 2124441240059. The next prime is 2124441240139. The reversal of 2124441240100 is 10421444212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 298332255204 + 1826108984896 = 546198^2 + 1351336^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 71275075 + ... + 71304874.

It is an arithmetic number, because the mean of its divisors is an integer number (128916038125).

Almost surely, 2^{2124441240100} is an apocalyptic number.

2124441240100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124441240100 is an abundant number, since it is smaller than the sum of its proper divisors (2516536132400).

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

2124441240100 is a wasteful number, since it uses less digits than its factorization.

2124441240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142580112 (or 142580105 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 2124441240100 its reverse (10421444212), we get a palindrome (2134862684312).

The spelling of 2124441240100 in words is "two trillion, one hundred twenty-four billion, four hundred forty-one million, two hundred forty thousand, one hundred".