10005006101 has 8 divisors (see below), whose sum is σ = 10144804824. Its totient is φ = 9866106880.

The previous prime is 10005006091. The next prime is 10005006139. The reversal of 10005006101 is 10160050001.

It can be written as a sum of positive squares in 4 ways, for example, as 178249201 + 9826756900 = 13351^2 + 99130^2 .

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-10005006101 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 (10005006161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202460 + ... + 246981.

It is an arithmetic number, because the mean of its divisors is an integer number (1268100603).

Almost surely, 2^10005006101 is an apocalyptic number.

It is an amenable number.

10005006101 is a deficient number, since it is larger than the sum of its proper divisors (139798723).

10005006101 is a wasteful number, since it uses less digits than its factorization.

10005006101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449751.

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 10005006101 its reverse (10160050001), we get a palindrome (20165056102).

The spelling of 10005006101 in words is "ten billion, five million, six thousand, one hundred one".