11121100101211 has 16 divisors (see below), whose sum is σ = 11624263999488. Its totient is φ = 10619587836000.

The previous prime is 11121100101191. The next prime is 11121100101217. The reversal of 11121100101211 is 11210100112111.

11121100101211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11121100101211 is a prime.

It is a super-2 number, since 2×11121100101211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11121100101191 and 11121100101200.

It is not an unprimeable number, because it can be changed into a prime (11121100101217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32355346 + ... + 32697256.

It is an arithmetic number, because the mean of its divisors is an integer number (726516499968).

Almost surely, 2^{11121100101211} is an apocalyptic number.

11121100101211 is a deficient number, since it is larger than the sum of its proper divisors (503163898277).

11121100101211 is a wasteful number, since it uses less digits than its factorization.

11121100101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344322.

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

Adding to 11121100101211 its reverse (11210100112111), we get a palindrome (22331200213322).

The spelling of 11121100101211 in words is "eleven trillion, one hundred twenty-one billion, one hundred million, one hundred one thousand, two hundred eleven".