2221111211117 has 2 divisors, whose sum is σ = 2221111211118. Its totient is φ = 2221111211116.

The previous prime is 2221111211107. The next prime is 2221111211147. The reversal of 2221111211117 is 7111121111222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1744264338436 + 476846872681 = 1320706^2 + 690541^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221111211117 - 2³⁴ = 2203931341933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221111211092 and 2221111211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221111211107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110555605558 + 1110555605559.

It is an arithmetic number, because the mean of its divisors is an integer number (1110555605559).

Almost surely, 2^{2221111211117} is an apocalyptic number.

It is an amenable number.

2221111211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221111211117 is an equidigital number, since it uses as much as digits as its factorization.

2221111211117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 112, while the sum is 23.

Adding to 2221111211117 its reverse (7111121111222), we get a palindrome (9332232322339).

The spelling of 2221111211117 in words is "two trillion, two hundred twenty-one billion, one hundred eleven million, two hundred eleven thousand, one hundred seventeen".