2112120220993 has 2 divisors, whose sum is σ = 2112120220994. Its totient is φ = 2112120220992.

The previous prime is 2112120220939. The next prime is 2112120221033. The reversal of 2112120220993 is 3990220212112.

Together with previous prime (2112120220939) 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., 1907335009969 + 204785211024 = 1381063^2 + 452532^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112120220993 - 2¹³ = 2112120212801 is a prime.

It is a super-3 number, since 3×2112120220993³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2112120220913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056060110496 + 1056060110497.

It is an arithmetic number, because the mean of its divisors is an integer number (1056060110497).

Almost surely, 2^{2112120220993} is an apocalyptic number.

It is an amenable number.

2112120220993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112120220993 is an equidigital number, since it uses as much as digits as its factorization.

2112120220993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 2112120220993 in words is "two trillion, one hundred twelve billion, one hundred twenty million, two hundred twenty thousand, nine hundred ninety-three".