11101101101211 has 32 divisors (see below), whose sum is σ = 16216982369280. Its totient is φ = 6698814220800.

The previous prime is 11101101101149. The next prime is 11101101101231. The reversal of 11101101101211 is 11210110110111.

It is not a de Polignac number, because 11101101101211 - 2²³ = 11101092712603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11101101101231) 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, 44962446 + ... + 45208668.

It is an arithmetic number, because the mean of its divisors is an integer number (506780699040).

Almost surely, 2^{11101101101211} is an apocalyptic number.

11101101101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101101101211 is a deficient number, since it is larger than the sum of its proper divisors (5115881268069).

11101101101211 is a wasteful number, since it uses less digits than its factorization.

11101101101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252147.

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

Adding to 11101101101211 its reverse (11210110110111), we get a palindrome (22311211211322).

The spelling of 11101101101211 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred one thousand, two hundred eleven".