11511544213101 has 16 divisors (see below), whose sum is σ = 15639471239040. Its totient is φ = 7529011239360.

The previous prime is 11511544213097. The next prime is 11511544213129. The reversal of 11511544213101 is 10131244511511.

It is not a de Polignac number, because 11511544213101 - 2² = 11511544213097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11511544253101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474945 + ... + 4821686.

It is an arithmetic number, because the mean of its divisors is an integer number (977466952440).

Almost surely, 2^{11511544213101} is an apocalyptic number.

It is an amenable number.

11511544213101 is a deficient number, since it is larger than the sum of its proper divisors (4127927025939).

11511544213101 is a wasteful number, since it uses less digits than its factorization.

11511544213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310356.

The product of its (nonzero) digits is 2400, while the sum is 30.

Adding to 11511544213101 its reverse (10131244511511), we get a palindrome (21642788724612).

The spelling of 11511544213101 in words is "eleven trillion, five hundred eleven billion, five hundred forty-four million, two hundred thirteen thousand, one hundred one".