12221011131101 has 2 divisors, whose sum is σ = 12221011131102. Its totient is φ = 12221011131100.

The previous prime is 12221011131073. The next prime is 12221011131103. The reversal of 12221011131101 is 10113111012221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9153644199001 + 3067366932100 = 3025499^2 + 1751390^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221011131101 - 2⁶ = 12221011131037 is a prime.

It is a super-2 number, since 2×12221011131101² (a number of 27 digits) contains 22 as substring.

Together with 12221011131103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12221011131101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221011131103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110505565550 + 6110505565551.

It is an arithmetic number, because the mean of its divisors is an integer number (6110505565551).

Almost surely, 2^{12221011131101} is an apocalyptic number.

It is an amenable number.

12221011131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221011131101 is an equidigital number, since it uses as much as digits as its factorization.

12221011131101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 12221011131101 its reverse (10113111012221), we get a palindrome (22334122143322).

The spelling of 12221011131101 in words is "twelve trillion, two hundred twenty-one billion, eleven million, one hundred thirty-one thousand, one hundred one".