10001105050105 has 64 divisors (see below), whose sum is σ = 14171551587648. Its totient is φ = 6708040335360.

The previous prime is 10001105050099. The next prime is 10001105050117. The reversal of 10001105050105 is 50105050110001.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 7238531964304 + 2762573085801 = 2690452^2 + 1662099^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10001105050105 is a prime.

It is a super-2 number, since 2×10001105050105² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2172717 + ... + 4972213.

It is an arithmetic number, because the mean of its divisors is an integer number (221430493557).

Almost surely, 2^{10001105050105} is an apocalyptic number.

It is an amenable number.

10001105050105 is a deficient number, since it is larger than the sum of its proper divisors (4170446537543).

10001105050105 is a wasteful number, since it uses less digits than its factorization.

10001105050105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799646.

The product of its (nonzero) digits is 125, while the sum is 19.

Adding to 10001105050105 its reverse (50105050110001), we get a palindrome (60106155160106).

The spelling of 10001105050105 in words is "ten trillion, one billion, one hundred five million, fifty thousand, one hundred five".