101160601001 has 2 divisors, whose sum is σ = 101160601002. Its totient is φ = 101160601000.

The previous prime is 101160600991. The next prime is 101160601037. The reversal of 101160601001 is 100106061101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75182898025 + 25977702976 = 274195^2 + 161176^2 .

It is an emirp because it is prime and its reverse (100106061101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101160601001 - 2¹⁴ = 101160584617 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101160601301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50580300500 + 50580300501.

It is an arithmetic number, because the mean of its divisors is an integer number (50580300501).

Almost surely, 2^101160601001 is an apocalyptic number.

It is an amenable number.

101160601001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101160601001 is an equidigital number, since it uses as much as digits as its factorization.

101160601001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101160601001 its reverse (100106061101), we get a palindrome (201266662102).

The spelling of 101160601001 in words is "one hundred one billion, one hundred sixty million, six hundred one thousand, one".