2042013012021 has 6 divisors (see below), whose sum is σ = 2949574350710. Its totient is φ = 1361342008008.

The previous prime is 2042013012019. The next prime is 2042013012049. The reversal of 2042013012021 is 1202103102402.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1231267640625 + 810745371396 = 1109625^2 + 900414^2 .

It is not a de Polignac number, because 2042013012021 - 2¹ = 2042013012019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2042013011985 and 2042013012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042013012071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 113445167326 + ... + 113445167343.

Almost surely, 2^{2042013012021} is an apocalyptic number.

It is an amenable number.

2042013012021 is a deficient number, since it is larger than the sum of its proper divisors (907561338689).

2042013012021 is a wasteful number, since it uses less digits than its factorization.

2042013012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226890334675 (or 226890334672 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2042013012021 its reverse (1202103102402), we get a palindrome (3244116114423).

The spelling of 2042013012021 in words is "two trillion, forty-two billion, thirteen million, twelve thousand, twenty-one".