221200201122137 has 2 divisors, whose sum is σ = 221200201122138. Its totient is φ = 221200201122136.

The previous prime is 221200201122083. The next prime is 221200201122221. The reversal of 221200201122137 is 731221102002122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119616459698761 + 101583741423376 = 10936931^2 + 10078876^2 .

It is a cyclic number.

It is not a de Polignac number, because 221200201122137 - 2¹⁰ = 221200201121113 is a prime.

It is not a weakly prime, because it can be changed into another prime (221200201182137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110600100561068 + 110600100561069.

It is an arithmetic number, because the mean of its divisors is an integer number (110600100561069).

Almost surely, 2^{221200201122137} is an apocalyptic number.

It is an amenable number.

221200201122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221200201122137 is an equidigital number, since it uses as much as digits as its factorization.

221200201122137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 221200201122137 its reverse (731221102002122), we get a palindrome (952421303124259).

The spelling of 221200201122137 in words is "two hundred twenty-one trillion, two hundred billion, two hundred one million, one hundred twenty-two thousand, one hundred thirty-seven".