10021004007 has 32 divisors (see below), whose sum is σ = 15425856000. Its totient is φ = 5668161408.

The previous prime is 10021003987. The next prime is 10021004011. The reversal of 10021004007 is 70040012001.

10021004007 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 10021004007 - 2⁷ = 10021003879 is a prime.

It is a super-3 number, since 3×10021004007³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021004017) 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 31 ways as a sum of consecutive naturals, for example, 881244 + ... + 892542.

It is an arithmetic number, because the mean of its divisors is an integer number (482058000).

Almost surely, 2^10021004007 is an apocalyptic number.

10021004007 is a deficient number, since it is larger than the sum of its proper divisors (5404851993).

10021004007 is a wasteful number, since it uses less digits than its factorization.

10021004007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735.

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 10021004007 its reverse (70040012001), we get a palindrome (80061016008).

The spelling of 10021004007 in words is "ten billion, twenty-one million, four thousand, seven".