11101113101 has 32 divisors (see below), whose sum is σ = 12889497600. Its totient is φ = 9469624320.

The previous prime is 11101113073. The next prime is 11101113119. The reversal of 11101113101 is 10131110111.

11101113101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-11101113101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101113161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3333005 + ... + 3336333.

It is an arithmetic number, because the mean of its divisors is an integer number (402796800).

Almost surely, 2^11101113101 is an apocalyptic number.

It is an amenable number.

11101113101 is a deficient number, since it is larger than the sum of its proper divisors (1788384499).

11101113101 is a wasteful number, since it uses less digits than its factorization.

11101113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 11101113101 its reverse (10131110111), we get a palindrome (21232223212).

The spelling of 11101113101 in words is "eleven billion, one hundred one million, one hundred thirteen thousand, one hundred one".