2010200220137 has 2 divisors, whose sum is σ = 2010200220138. Its totient is φ = 2010200220136.

The previous prime is 2010200220079. The next prime is 2010200220167. The reversal of 2010200220137 is 7310220020102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1875519294016 + 134680926121 = 1369496^2 + 366989^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010200220137 - 2¹⁶ = 2010200154601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010200220167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005100110068 + 1005100110069.

It is an arithmetic number, because the mean of its divisors is an integer number (1005100110069).

Almost surely, 2^{2010200220137} is an apocalyptic number.

It is an amenable number.

2010200220137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010200220137 is an equidigital number, since it uses as much as digits as its factorization.

2010200220137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 2010200220137 its reverse (7310220020102), we get a palindrome (9320420240239).

The spelling of 2010200220137 in words is "two trillion, ten billion, two hundred million, two hundred twenty thousand, one hundred thirty-seven".