10005105101 has 8 divisors (see below), whose sum is σ = 10569715680. Its totient is φ = 9444297168.

The previous prime is 10005105049. The next prime is 10005105151. The reversal of 10005105101 is 10150150001.

10005105101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10005105101 - 2³⁰ = 8931363277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005105151) 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 7 ways as a sum of consecutive naturals, for example, 945251 + ... + 955776.

It is an arithmetic number, because the mean of its divisors is an integer number (1321214460).

Almost surely, 2^10005105101 is an apocalyptic number.

It is an amenable number.

10005105101 is a deficient number, since it is larger than the sum of its proper divisors (564610579).

10005105101 is a wasteful number, since it uses less digits than its factorization.

10005105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901323.

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 10005105101 its reverse (10150150001), we get a palindrome (20155255102).

The spelling of 10005105101 in words is "ten billion, five million, one hundred five thousand, one hundred one".