220210009993 has 2 divisors, whose sum is σ = 220210009994. Its totient is φ = 220210009992.

The previous prime is 220210009969. The next prime is 220210010011. The reversal of 220210009993 is 399900012022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195459483664 + 24750526329 = 442108^2 + 157323^2 .

It is a cyclic number.

It is not a de Polignac number, because 220210009993 - 2³⁷ = 82771056521 is a prime.

It is a super-3 number, since 3×220210009993³ (a number of 35 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 (220210009933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110105004996 + 110105004997.

It is an arithmetic number, because the mean of its divisors is an integer number (110105004997).

Almost surely, 2^220210009993 is an apocalyptic number.

It is an amenable number.

220210009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

220210009993 is an equidigital number, since it uses as much as digits as its factorization.

220210009993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 220210009993 in words is "two hundred twenty billion, two hundred ten million, nine thousand, nine hundred ninety-three".