11211111001101 has 16 divisors (see below), whose sum is σ = 16833105082368. Its totient is φ = 6575431671600.

The previous prime is 11211111001049. The next prime is 11211111001177. The reversal of 11211111001101 is 10110011111211.

It is not a de Polignac number, because 11211111001101 - 2³⁰ = 11210037259277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211111001901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5479525371 + ... + 5479527416.

It is an arithmetic number, because the mean of its divisors is an integer number (1052069067648).

Almost surely, 2^{11211111001101} is an apocalyptic number.

11211111001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211111001101 is a deficient number, since it is larger than the sum of its proper divisors (5621994081267).

11211111001101 is a wasteful number, since it uses less digits than its factorization.

11211111001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10959052832.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11211111001101 its reverse (10110011111211), we get a palindrome (21321122112312).

It can be divided in two parts, 1121111 and 1001101, that added together give a palindrome (2122212).

The spelling of 11211111001101 in words is "eleven trillion, two hundred eleven billion, one hundred eleven million, one thousand, one hundred one".