2212120220993 has 2 divisors, whose sum is σ = 2212120220994. Its totient is φ = 2212120220992.

The previous prime is 2212120220987. The next prime is 2212120221023. The reversal of 2212120220993 is 3990220212122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1965556332289 + 246563888704 = 1401983^2 + 496552^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212120220993 - 2⁶ = 2212120220929 is a prime.

It is a super-4 number, since 4×2212120220993⁴ (a number of 50 digits) contains 4444 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 not a weakly prime, because it can be changed into another prime (2212120220903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106060110496 + 1106060110497.

It is an arithmetic number, because the mean of its divisors is an integer number (1106060110497).

Almost surely, 2^{2212120220993} is an apocalyptic number.

It is an amenable number.

2212120220993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212120220993 is an equidigital number, since it uses as much as digits as its factorization.

2212120220993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 2212120220993 in words is "two trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty thousand, nine hundred ninety-three".