2112009073 has 2 divisors, whose sum is σ = 2112009074. Its totient is φ = 2112009072.

The previous prime is 2112009037. The next prime is 2112009083. The reversal of 2112009073 is 3709002112.

Together with previous prime (2112009037) 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., 1559618064 + 552391009 = 39492^2 + 23503^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112009073 - 2¹⁷ = 2111878001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112009083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056004536 + 1056004537.

It is an arithmetic number, because the mean of its divisors is an integer number (1056004537).

Almost surely, 2^2112009073 is an apocalyptic number.

It is an amenable number.

2112009073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112009073 is an equidigital number, since it uses as much as digits as its factorization.

2112009073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 2112009073 is about 45956.5998851090. The cubic root of 2112009073 is about 1283.0155692406.

It can be divided in two parts, 211 and 2009073, that multiplied together give a triangular number (423914403 = T₂₉₁₁₇).

The spelling of 2112009073 in words is "two billion, one hundred twelve million, nine thousand, seventy-three".