101160000001 has 16 divisors (see below), whose sum is σ = 102431443968. Its totient is φ = 99898401600.

The previous prime is 101159999999. The next prime is 101160000037. The reversal of 101160000001 is 100000061101.

It is a cyclic number.

It is not a de Polignac number, because 101160000001 - 2¹ = 101159999999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101160000061) 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 15 ways as a sum of consecutive naturals, for example, 20144871 + ... + 20149891.

It is an arithmetic number, because the mean of its divisors is an integer number (6401965248).

Almost surely, 2^101160000001 is an apocalyptic number.

It is an amenable number.

101160000001 is a deficient number, since it is larger than the sum of its proper divisors (1271443967).

101160000001 is a wasteful number, since it uses less digits than its factorization.

101160000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101160000001 its reverse (100000061101), we get a palindrome (201160061102).

The spelling of 101160000001 in words is "one hundred one billion, one hundred sixty million, one", and thus it is an aban number.