12211112220137 has 2 divisors, whose sum is σ = 12211112220138. Its totient is φ = 12211112220136.

The previous prime is 12211112220107. The next prime is 12211112220179. The reversal of 12211112220137 is 73102221111221.

12211112220137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12168732233641 + 42379986496 = 3488371^2 + 205864^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211112220137 - 2¹⁶ = 12211112154601 is a prime.

It is a super-2 number, since 2×12211112220137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211112220107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105556110068 + 6105556110069.

It is an arithmetic number, because the mean of its divisors is an integer number (6105556110069).

Almost surely, 2^{12211112220137} is an apocalyptic number.

It is an amenable number.

12211112220137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211112220137 is an equidigital number, since it uses as much as digits as its factorization.

12211112220137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 12211112220137 its reverse (73102221111221), we get a palindrome (85313333331358).

The spelling of 12211112220137 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, two hundred twenty thousand, one hundred thirty-seven".