201001232123137 has 2 divisors, whose sum is σ = 201001232123138. Its totient is φ = 201001232123136.

The previous prime is 201001232123089. The next prime is 201001232123161. The reversal of 201001232123137 is 731321232100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188456913217521 + 12544318905616 = 13727961^2 + 3541796^2 .

It is a cyclic number.

It is not a de Polignac number, because 201001232123137 - 2⁷ = 201001232123009 is a prime.

It is not a weakly prime, because it can be changed into another prime (201001232123177) 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, 100500616061568 + 100500616061569.

It is an arithmetic number, because the mean of its divisors is an integer number (100500616061569).

Almost surely, 2^{201001232123137} is an apocalyptic number.

It is an amenable number.

201001232123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

201001232123137 is an equidigital number, since it uses as much as digits as its factorization.

201001232123137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 201001232123137 its reverse (731321232100102), we get a palindrome (932322464223239).

The spelling of 201001232123137 in words is "two hundred one trillion, one billion, two hundred thirty-two million, one hundred twenty-three thousand, one hundred thirty-seven".