12211122100111 has 128 divisors (see below), whose sum is σ = 14279415091200. Its totient is φ = 10345522176000.

The previous prime is 12211122100103. The next prime is 12211122100141. The reversal of 12211122100111 is 11100122111221.

It is not a de Polignac number, because 12211122100111 - 2³ = 12211122100103 is a prime.

It is a super-2 number, since 2×12211122100111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211122100141) 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, 34988888365 + ... + 34988888713.

It is an arithmetic number, because the mean of its divisors is an integer number (111557930400).

Almost surely, 2^{12211122100111} is an apocalyptic number.

12211122100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211122100111 is a deficient number, since it is larger than the sum of its proper divisors (2068292991089).

12211122100111 is a wasteful number, since it uses less digits than its factorization.

12211122100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 12211122100111 its reverse (11100122111221), we get a palindrome (23311244211332).

It can be divided in two parts, 122111 and 22100111, that added together give a palindrome (22222222).

The spelling of 12211122100111 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thousand, one hundred eleven".