10005561010601 has 8 divisors (see below), whose sum is σ = 10881904893384. Its totient is φ = 9144457891200.

The previous prime is 10005561010553. The next prime is 10005561010633. The reversal of 10005561010601 is 10601016550001.

10005561010601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 175762177600 + 9829798833001 = 419240^2 + 3135251^2 .

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-10005561010601 is a prime.

It is a super-2 number, since 2×10005561010601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005561010691) 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, 3810189476 + ... + 3810192101.

It is an arithmetic number, because the mean of its divisors is an integer number (1360238111673).

Almost surely, 2^{10005561010601} is an apocalyptic number.

It is an amenable number.

10005561010601 is a deficient number, since it is larger than the sum of its proper divisors (876343882783).

10005561010601 is a wasteful number, since it uses less digits than its factorization.

10005561010601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7620381691.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 10005561010601 its reverse (10601016550001), we get a palindrome (20606577560602).

The spelling of 10005561010601 in words is "ten trillion, five billion, five hundred sixty-one million, ten thousand, six hundred one".