2112010010093 has 2 divisors, whose sum is σ = 2112010010094. Its totient is φ = 2112010010092.

The previous prime is 2112010010083. The next prime is 2112010010119. The reversal of 2112010010093 is 3900100102112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1286359735684 + 825650274409 = 1134178^2 + 908653^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112010010093 - 2¹⁰ = 2112010009069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112010010083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056005005046 + 1056005005047.

It is an arithmetic number, because the mean of its divisors is an integer number (1056005005047).

Almost surely, 2^{2112010010093} is an apocalyptic number.

It is an amenable number.

2112010010093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112010010093 is an equidigital number, since it uses as much as digits as its factorization.

2112010010093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 2112010010093 in words is "two trillion, one hundred twelve billion, ten million, ten thousand, ninety-three".