10058812816221 has 32 divisors (see below), whose sum is σ = 16421463470720. Its totient is φ = 6046084259712.

The previous prime is 10058812816219. The next prime is 10058812816259. The reversal of 10058812816221 is 12261821885001.

10058812816221 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 8 + 8 + 12 + 8 + 1 + 622 + 1 = 666.

It is not a de Polignac number, because 10058812816221 - 2¹ = 10058812816219 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10058812816291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333212656 + ... + 333242841.

It is an arithmetic number, because the mean of its divisors is an integer number (513170733460).

Almost surely, 2^{10058812816221} is an apocalyptic number.

It is an amenable number.

10058812816221 is a deficient number, since it is larger than the sum of its proper divisors (6362650654499).

10058812816221 is a wasteful number, since it uses less digits than its factorization.

10058812816221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666455562 (or 666455556 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 10058812816221 in words is "ten trillion, fifty-eight billion, eight hundred twelve million, eight hundred sixteen thousand, two hundred twenty-one".