10011600016101 has 24 divisors (see below), whose sum is σ = 14741658547200. Its totient is φ = 6545941970400.

The previous prime is 10011600016087. The next prime is 10011600016157. The reversal of 10011600016101 is 10161000611001.

10011600016101 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 600 + 0 + 1 + 61 + 0 + 1 = 666.

It is not a de Polignac number, because 10011600016101 - 2¹⁴ = 10011599999717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011600012101) 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, 40892626 + ... + 41136723.

It is an arithmetic number, because the mean of its divisors is an integer number (614235772800).

Almost surely, 2^{10011600016101} is an apocalyptic number.

It is an amenable number.

10011600016101 is a deficient number, since it is larger than the sum of its proper divisors (4730058531099).

10011600016101 is a wasteful number, since it uses less digits than its factorization.

10011600016101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82029617 (or 82029614 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10011600016101 its reverse (10161000611001), we get a palindrome (20172600627102).

The spelling of 10011600016101 in words is "ten trillion, eleven billion, six hundred million, sixteen thousand, one hundred one".