2801112022217 has 2 divisors, whose sum is σ = 2801112022218. Its totient is φ = 2801112022216.

The previous prime is 2801112022207. The next prime is 2801112022223. The reversal of 2801112022217 is 7122202111082.

2801112022217 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1885867746361 + 915244275856 = 1373269^2 + 956684^2 .

It is a cyclic number.

It is not a de Polignac number, because 2801112022217 - 2⁴ = 2801112022201 is a prime.

It is a super-2 number, since 2×2801112022217² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2801112022217.

It is not a weakly prime, because it can be changed into another prime (2801112022207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1400556011108 + 1400556011109.

It is an arithmetic number, because the mean of its divisors is an integer number (1400556011109).

Almost surely, 2^{2801112022217} is an apocalyptic number.

It is an amenable number.

2801112022217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2801112022217 is an equidigital number, since it uses as much as digits as its factorization.

2801112022217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 29.

Adding to 2801112022217 its reverse (7122202111082), we get a palindrome (9923314133299).

The spelling of 2801112022217 in words is "two trillion, eight hundred one billion, one hundred twelve million, twenty-two thousand, two hundred seventeen".