201101100110105 has 32 divisors (see below), whose sum is σ = 275287589980704. Its totient is φ = 139711011618816.

The previous prime is 201101100110059. The next prime is 201101100110143. The reversal of 201101100110105 is 501011001101102.

It can be written as a sum of positive squares in 16 ways, for example, as 14228263129369 + 186872836980736 = 3772037^2 + 13670144^2 .

It is a cyclic number.

It is not a de Polignac number, because 201101100110105 - 2¹⁸ = 201101099847961 is a prime.

It is a super-2 number, since 2×201101100110105² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201101100110105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35655272 + ... + 40908441.

It is an arithmetic number, because the mean of its divisors is an integer number (8602737186897).

Almost surely, 2^{201101100110105} is an apocalyptic number.

It is an amenable number.

201101100110105 is a deficient number, since it is larger than the sum of its proper divisors (74186489870599).

201101100110105 is a wasteful number, since it uses less digits than its factorization.

201101100110105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76566125.

The product of its (nonzero) digits is 10, while the sum is 14.

Adding to 201101100110105 its reverse (501011001101102), we get a palindrome (702112101211207).

The spelling of 201101100110105 in words is "two hundred one trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred five".