101305110001 has 8 divisors (see below), whose sum is σ = 101419758720. Its totient is φ = 101190515712.

The previous prime is 101305109953. The next prime is 101305110047. The reversal of 101305110001 is 100011503101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101305110001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101335110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4537201 + ... + 4559473.

It is an arithmetic number, because the mean of its divisors is an integer number (12677469840).

Almost surely, 2^101305110001 is an apocalyptic number.

It is an amenable number.

101305110001 is a deficient number, since it is larger than the sum of its proper divisors (114648719).

101305110001 is a wasteful number, since it uses less digits than its factorization.

101305110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27215.

The product of its (nonzero) digits is 15, while the sum is 13.

Adding to 101305110001 its reverse (100011503101), we get a palindrome (201316613102).

The spelling of 101305110001 in words is "one hundred one billion, three hundred five million, one hundred ten thousand, one".