221001300137 has 2 divisors, whose sum is σ = 221001300138. Its totient is φ = 221001300136.

The previous prime is 221001299971. The next prime is 221001300139. The reversal of 221001300137 is 731003100122.

221001300137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124422685696 + 96578614441 = 352736^2 + 310771^2 .

It is a cyclic number.

It is not a de Polignac number, because 221001300137 - 2⁸ = 221001299881 is a prime.

Together with 221001300139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (221001300139) 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, 110500650068 + 110500650069.

It is an arithmetic number, because the mean of its divisors is an integer number (110500650069).

Almost surely, 2^221001300137 is an apocalyptic number.

It is an amenable number.

221001300137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001300137 is an equidigital number, since it uses as much as digits as its factorization.

221001300137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

Adding to 221001300137 its reverse (731003100122), we get a palindrome (952004400259).

The spelling of 221001300137 in words is "two hundred twenty-one billion, one million, three hundred thousand, one hundred thirty-seven".