2211200002117 has 2 divisors, whose sum is σ = 2211200002118. Its totient is φ = 2211200002116.

The previous prime is 2211200002097. The next prime is 2211200002127. The reversal of 2211200002117 is 7112000021122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1158634807201 + 1052565194916 = 1076399^2 + 1025946^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2211200002117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2211200002094 and 2211200002103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211200002127) 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, 1105600001058 + 1105600001059.

It is an arithmetic number, because the mean of its divisors is an integer number (1105600001059).

Almost surely, 2^{2211200002117} is an apocalyptic number.

It is an amenable number.

2211200002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211200002117 is an equidigital number, since it uses as much as digits as its factorization.

2211200002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 2211200002117 its reverse (7112000021122), we get a palindrome (9323200023239).

The spelling of 2211200002117 in words is "two trillion, two hundred eleven billion, two hundred million, two thousand, one hundred seventeen".