10001000099993 has 24 divisors (see below), whose sum is σ = 12318389107200. Its totient is φ = 8067882711168.

The previous prime is 10001000099843. The next prime is 10001000100011. The reversal of 10001000099993 is 39999000010001.

It is not a de Polignac number, because 10001000099993 - 2¹⁸ = 10000999837849 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 10001000099993.

It is not an unprimeable number, because it can be changed into a prime (10001000095993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72868088 + ... + 73005206.

It is an arithmetic number, because the mean of its divisors is an integer number (513266212800).

Almost surely, 2^{10001000099993} is an apocalyptic number.

It is an amenable number.

10001000099993 is a deficient number, since it is larger than the sum of its proper divisors (2317389007207).

10001000099993 is a wasteful number, since it uses less digits than its factorization.

10001000099993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224709 (or 224702 counting only the distinct ones).

The product of its (nonzero) digits is 19683, while the sum is 41.

The spelling of 10001000099993 in words is "ten trillion, one billion, ninety-nine thousand, nine hundred ninety-three".