10116016011001 has 48 divisors (see below), whose sum is σ = 11291618677248. Its totient is φ = 9043542604800.

The previous prime is 10116016010941. The next prime is 10116016011007. The reversal of 10116016011001 is 10011061061101.

It is a happy number.

It is not a de Polignac number, because 10116016011001 - 2¹⁷ = 10116015879929 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 10116016011001.

It is not an unprimeable number, because it can be changed into a prime (10116016011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 881871696 + ... + 881883166.

It is an arithmetic number, because the mean of its divisors is an integer number (235242055776).

Almost surely, 2^{10116016011001} is an apocalyptic number.

It is an amenable number.

10116016011001 is a deficient number, since it is larger than the sum of its proper divisors (1175602666247).

10116016011001 is a wasteful number, since it uses less digits than its factorization.

10116016011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12442 (or 12425 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 10116016011001 its reverse (10011061061101), we get a palindrome (20127077072102).

The spelling of 10116016011001 in words is "ten trillion, one hundred sixteen billion, sixteen million, eleven thousand, one".