11221211212211 has 128 divisors (see below), whose sum is σ = 16100807933952. Its totient is φ = 7536070080000.

The previous prime is 11221211212199. The next prime is 11221211212319.

It is a happy number.

11221211212211 is nontrivially palindromic in base 10.

11221211212211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-11221211212211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11221211212711) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165063950 + ... + 165131916.

It is an arithmetic number, because the mean of its divisors is an integer number (125787561984).

Almost surely, 2^{11221211212211} is an apocalyptic number.

11221211212211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221211212211 is a deficient number, since it is larger than the sum of its proper divisors (4879596721741).

11221211212211 is a wasteful number, since it uses less digits than its factorization.

11221211212211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68193.

The product of its digits is 64, while the sum is 20.

It can be divided in two parts, 1122121 and 1212211, that added together give a palindrome (2334332).

The spelling of 11221211212211 in words is "eleven trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, two hundred eleven".