11010111100101 has 48 divisors (see below), whose sum is σ = 16448914145664. Its totient is φ = 7091294055552.

The previous prime is 11010111100069. The next prime is 11010111100127. The reversal of 11010111100101 is 10100111101011.

It is not a de Polignac number, because 11010111100101 - 2⁵ = 11010111100069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010111100171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32830470 + ... + 33164136.

It is an arithmetic number, because the mean of its divisors is an integer number (342685711368).

Almost surely, 2^{11010111100101} is an apocalyptic number.

It is an amenable number.

11010111100101 is a deficient number, since it is larger than the sum of its proper divisors (5438803045563).

11010111100101 is a wasteful number, since it uses less digits than its factorization.

11010111100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334410 (or 334407 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11010111100101 its reverse (10100111101011), we get a palindrome (21110222201112).

It can be divided in two parts, 11010 and 111100101, that added together give a palindrome (111111111).

The spelling of 11010111100101 in words is "eleven trillion, ten billion, one hundred eleven million, one hundred thousand, one hundred one".