2211101112221 has 2 divisors, whose sum is σ = 2211101112222. Its totient is φ = 2211101112220.

The previous prime is 2211101112139. The next prime is 2211101112223. The reversal of 2211101112221 is 1222111011122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1161521352121 + 1049579760100 = 1077739^2 + 1024490^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211101112221 - 2²² = 2211096917917 is a prime.

Together with 2211101112223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2211101112221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211101112223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105550556110 + 1105550556111.

It is an arithmetic number, because the mean of its divisors is an integer number (1105550556111).

Almost surely, 2^{2211101112221} is an apocalyptic number.

It is an amenable number.

2211101112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211101112221 is an equidigital number, since it uses as much as digits as its factorization.

2211101112221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2211101112221 its reverse (1222111011122), we get a palindrome (3433212123343).

It can be divided in two parts, 221110 and 1112221, that added together give a palindrome (1333331).

The spelling of 2211101112221 in words is "two trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, two hundred twenty-one".