2012110002137 has 2 divisors, whose sum is σ = 2012110002138. Its totient is φ = 2012110002136.

The previous prime is 2012110002107. The next prime is 2012110002163. The reversal of 2012110002137 is 7312000112102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1644693391936 + 367416610201 = 1282456^2 + 606149^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012110002137 - 2¹⁸ = 2012109739993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2012110002107) 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, 1006055001068 + 1006055001069.

It is an arithmetic number, because the mean of its divisors is an integer number (1006055001069).

Almost surely, 2^{2012110002137} is an apocalyptic number.

It is an amenable number.

2012110002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012110002137 is an equidigital number, since it uses as much as digits as its factorization.

2012110002137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 2012110002137 its reverse (7312000112102), we get a palindrome (9324110114239).

The spelling of 2012110002137 in words is "two trillion, twelve billion, one hundred ten million, two thousand, one hundred thirty-seven".