22111211211137 has 2 divisors, whose sum is σ = 22111211211138. Its totient is φ = 22111211211136.

The previous prime is 22111211211083. The next prime is 22111211211157. The reversal of 22111211211137 is 73111211211122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19835123024896 + 2276088186241 = 4453664^2 + 1508671^2 .

It is a cyclic number.

It is not a de Polignac number, because 22111211211137 - 2¹⁴ = 22111211194753 is a prime.

It is a super-3 number, since 3×22111211211137³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (22111211211157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11055605605568 + 11055605605569.

It is an arithmetic number, because the mean of its divisors is an integer number (11055605605569).

Almost surely, 2^{22111211211137} is an apocalyptic number.

It is an amenable number.

22111211211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

22111211211137 is an equidigital number, since it uses as much as digits as its factorization.

22111211211137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 26.

Adding to 22111211211137 its reverse (73111211211122), we get a palindrome (95222422422259).

The spelling of 22111211211137 in words is "twenty-two trillion, one hundred eleven billion, two hundred eleven million, two hundred eleven thousand, one hundred thirty-seven".