10001105561105 has 16 divisors (see below), whose sum is σ = 12132181925184. Its totient is φ = 7914112879680.

The previous prime is 10001105561099. The next prime is 10001105561107. The reversal of 10001105561105 is 50116550110001.

It is a de Polignac number, because none of the positive numbers 2^k-10001105561105 is a prime.

It is a super-2 number, since 2×10001105561105² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001105561107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28906934 + ... + 29250863.

It is an arithmetic number, because the mean of its divisors is an integer number (758261370324).

Almost surely, 2^{10001105561105} is an apocalyptic number.

It is an amenable number.

10001105561105 is a deficient number, since it is larger than the sum of its proper divisors (2131076364079).

10001105561105 is a wasteful number, since it uses less digits than its factorization.

10001105561105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58158176.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 10001105561105 its reverse (50116550110001), we get a palindrome (60117655671106).

The spelling of 10001105561105 in words is "ten trillion, one billion, one hundred five million, five hundred sixty-one thousand, one hundred five".