10002013021 has 48 divisors (see below), whose sum is σ = 13689336960. Its totient is φ = 7095029760.

The previous prime is 10002013001. The next prime is 10002013027. The reversal of 10002013021 is 12031020001.

10002013021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002013021 - 2²⁹ = 9465142109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002012989 and 10002013007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002013027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 944685 + ... + 955213.

It is an arithmetic number, because the mean of its divisors is an integer number (285194520).

Almost surely, 2^10002013021 is an apocalyptic number.

10002013021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002013021 is a deficient number, since it is larger than the sum of its proper divisors (3687323939).

10002013021 is a wasteful number, since it uses less digits than its factorization.

10002013021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646 (or 10633 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10002013021 its reverse (12031020001), we get a palindrome (22033033022).

The spelling of 10002013021 in words is "ten billion, two million, thirteen thousand, twenty-one".