11101101102211 has 8 divisors (see below), whose sum is σ = 11150158872384. Its totient is φ = 11052088780800.

The previous prime is 11101101102127. The next prime is 11101101102263. The reversal of 11101101102211 is 11220110110111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11101101102211 - 2²³ = 11101092713603 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11101101102191 and 11101101102200.

It is not an unprimeable number, because it can be changed into a prime (11101101102271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10872555 + ... + 11849668.

It is an arithmetic number, because the mean of its divisors is an integer number (1393769859048).

Almost surely, 2^{11101101102211} is an apocalyptic number.

11101101102211 is a deficient number, since it is larger than the sum of its proper divisors (49057770173).

11101101102211 is a wasteful number, since it uses less digits than its factorization.

11101101102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22724381.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11101101102211 its reverse (11220110110111), we get a palindrome (22321211212322).

The spelling of 11101101102211 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred two thousand, two hundred eleven".