11121100101 has 48 divisors (see below), whose sum is σ = 16938588160. Its totient is φ = 7023594240.

The previous prime is 11121100099. The next prime is 11121100117. The reversal of 11121100101 is 10100112111.

11121100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11121100101 - 2¹ = 11121100099 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 (11121100141) 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 47 ways as a sum of consecutive naturals, for example, 1917516 + ... + 1923306.

Almost surely, 2^11121100101 is an apocalyptic number.

It is an amenable number.

11121100101 is a deficient number, since it is larger than the sum of its proper divisors (5817488059).

11121100101 is a wasteful number, since it uses less digits than its factorization.

11121100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11121100101 its reverse (10100112111), we get a palindrome (21221212212).

The spelling of 11121100101 in words is "eleven billion, one hundred twenty-one million, one hundred thousand, one hundred one".