2102012008073 has 2 divisors, whose sum is σ = 2102012008074. Its totient is φ = 2102012008072.

The previous prime is 2102012008037. The next prime is 2102012008091. The reversal of 2102012008073 is 3708002102012.

Together with previous prime (2102012008037) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1929676600384 + 172335407689 = 1389128^2 + 415133^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102012008073 - 2¹⁰ = 2102012007049 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2102012008273) 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, 1051006004036 + 1051006004037.

It is an arithmetic number, because the mean of its divisors is an integer number (1051006004037).

Almost surely, 2^{2102012008073} is an apocalyptic number.

It is an amenable number.

2102012008073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102012008073 is an equidigital number, since it uses as much as digits as its factorization.

2102012008073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 2102012008073 in words is "two trillion, one hundred two billion, twelve million, eight thousand, seventy-three".