2121830000003 has 64 divisors (see below), whose sum is σ = 2663674675200. Its totient is φ = 1650853999872.

The previous prime is 2121829999997. The next prime is 2121830000029. The reversal of 2121830000003 is 3000000381212.

It is not a de Polignac number, because 2121830000003 - 2¹⁴ = 2121829983619 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121830000003.

It is not an unprimeable number, because it can be changed into a prime (2121830009003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44553398 + ... + 44600996.

It is an arithmetic number, because the mean of its divisors is an integer number (41619916800).

Almost surely, 2^{2121830000003} is an apocalyptic number.

2121830000003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2121830000003 is a deficient number, since it is larger than the sum of its proper divisors (541844675197).

2121830000003 is a wasteful number, since it uses less digits than its factorization.

2121830000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47856.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2121830000003 its reverse (3000000381212), we get a palindrome (5121830381215).

The spelling of 2121830000003 in words is "two trillion, one hundred twenty-one billion, eight hundred thirty million, three", and thus it is an aban number.