2124114101 has 32 divisors (see below), whose sum is σ = 2415329280. Its totient is φ = 1858032000.

The previous prime is 2124114071. The next prime is 2124114103. The reversal of 2124114101 is 1014114212.

It is not a de Polignac number, because 2124114101 - 2⁶ = 2124114037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2124114101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124114103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1844876 + ... + 1846026.

It is an arithmetic number, because the mean of its divisors is an integer number (75479040).

Almost surely, 2^2124114101 is an apocalyptic number.

It is an amenable number.

2124114101 is a deficient number, since it is larger than the sum of its proper divisors (291215179).

2124114101 is a wasteful number, since it uses less digits than its factorization.

2124114101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 2124114101 is about 46088.1123609983. The cubic root of 2124114101 is about 1285.4621120028.

Adding to 2124114101 its reverse (1014114212), we get a palindrome (3138228313).

The spelling of 2124114101 in words is "two billion, one hundred twenty-four million, one hundred fourteen thousand, one hundred one".