212300020002137 has 2 divisors, whose sum is σ = 212300020002138. Its totient is φ = 212300020002136.

The previous prime is 212300020002107. The next prime is 212300020002151. The reversal of 212300020002137 is 731200020003212.

212300020002137 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., 207854041116736 + 4445978885401 = 14417144^2 + 2108549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212300020002137 is a prime.

It is not a weakly prime, because it can be changed into another prime (212300020002107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106150010001068 + 106150010001069.

It is an arithmetic number, because the mean of its divisors is an integer number (106150010001069).

Almost surely, 2^{212300020002137} is an apocalyptic number.

It is an amenable number.

212300020002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212300020002137 is an equidigital number, since it uses as much as digits as its factorization.

212300020002137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 23.

Adding to 212300020002137 its reverse (731200020003212), we get a palindrome (943500040005349).

The spelling of 212300020002137 in words is "two hundred twelve trillion, three hundred billion, twenty million, two thousand, one hundred thirty-seven".