10005011303101 has 4 divisors (see below), whose sum is σ = 10593541379772. Its totient is φ = 9416481226432.

The previous prime is 10005011303009. The next prime is 10005011303117. The reversal of 10005011303101 is 10130311050001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8129826151225 + 1875185151876 = 2851285^2 + 1369374^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005011303101 - 2⁷ = 10005011302973 is a prime.

It is a super-3 number, since 3×10005011303101³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005011303701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 294265038310 + ... + 294265038343.

It is an arithmetic number, because the mean of its divisors is an integer number (2648385344943).

Almost surely, 2^{10005011303101} is an apocalyptic number.

It is an amenable number.

10005011303101 is a deficient number, since it is larger than the sum of its proper divisors (588530076671).

10005011303101 is an equidigital number, since it uses as much as digits as its factorization.

10005011303101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588530076670.

The product of its (nonzero) digits is 45, while the sum is 16.

Adding to 10005011303101 its reverse (10130311050001), we get a palindrome (20135322353102).

The spelling of 10005011303101 in words is "ten trillion, five billion, eleven million, three hundred three thousand, one hundred one".