11111000506101 has 64 divisors (see below), whose sum is σ = 17026104775680. Its totient is φ = 7156787400000.

The previous prime is 11111000506079. The next prime is 11111000506147. The reversal of 11111000506101 is 10160500011111.

It is a happy number.

11111000506101 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 1 + 0 + 0 + 0 + 50 + 610 + 1 = 666.

It is not a de Polignac number, because 11111000506101 - 2⁵ = 11111000506069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111000501101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127888326 + ... + 127975176.

It is an arithmetic number, because the mean of its divisors is an integer number (266032887120).

Almost surely, 2^{11111000506101} is an apocalyptic number.

It is an amenable number.

11111000506101 is a deficient number, since it is larger than the sum of its proper divisors (5915104269579).

11111000506101 is a wasteful number, since it uses less digits than its factorization.

11111000506101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88095 (or 88089 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 11111000506101 its reverse (10160500011111), we get a palindrome (21271500517212).

The spelling of 11111000506101 in words is "eleven trillion, one hundred eleven billion, five hundred six thousand, one hundred one".