2200002121217 has 2 divisors, whose sum is σ = 2200002121218. Its totient is φ = 2200002121216.

The previous prime is 2200002121169. The next prime is 2200002121271. The reversal of 2200002121217 is 7121212000022.

Together with next prime (2200002121271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2153993587201 + 46008534016 = 1467649^2 + 214496^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200002121217 - 2²² = 2199997926913 is a prime.

It is a super-2 number, since 2×2200002121217² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2200002121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100001060608 + 1100001060609.

It is an arithmetic number, because the mean of its divisors is an integer number (1100001060609).

Almost surely, 2^{2200002121217} is an apocalyptic number.

It is an amenable number.

2200002121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200002121217 is an equidigital number, since it uses as much as digits as its factorization.

2200002121217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 2200002121217 its reverse (7121212000022), we get a palindrome (9321214121239).

The spelling of 2200002121217 in words is "two trillion, two hundred billion, two million, one hundred twenty-one thousand, two hundred seventeen".