2121210011093 has 2 divisors, whose sum is σ = 2121210011094. Its totient is φ = 2121210011092.

The previous prime is 2121210011077. The next prime is 2121210011119. The reversal of 2121210011093 is 3901100121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2060034419524 + 61175591569 = 1435282^2 + 247337^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121210011093 - 2⁴ = 2121210011077 is a prime.

It is a super-3 number, since 3×2121210011093³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121210011033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060605005546 + 1060605005547.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605005547).

Almost surely, 2^{2121210011093} is an apocalyptic number.

It is an amenable number.

2121210011093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121210011093 is an equidigital number, since it uses as much as digits as its factorization.

2121210011093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 2121210011093 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, eleven thousand, ninety-three".