10021001113 has 8 divisors (see below), whose sum is σ = 10052436680. Its totient is φ = 9989602560.

The previous prime is 10021001093. The next prime is 10021001149. The reversal of 10021001113 is 31110012001.

10021001113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 180956304 + 9840044809 = 13452^2 + 99197^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10021001113 - 2³³ = 1431066521 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 10021001113.

It is not an unprimeable number, because it can be changed into a prime (10021001173) 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 7 ways as a sum of consecutive naturals, for example, 593281 + ... + 609937.

It is an arithmetic number, because the mean of its divisors is an integer number (1256554585).

Almost surely, 2^10021001113 is an apocalyptic number.

It is an amenable number.

10021001113 is a deficient number, since it is larger than the sum of its proper divisors (31435567).

10021001113 is a wasteful number, since it uses less digits than its factorization.

10021001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18507.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10021001113 its reverse (31110012001), we get a palindrome (41131013114).

The spelling of 10021001113 in words is "ten billion, twenty-one million, one thousand, one hundred thirteen".