2212101111041 has 2 divisors, whose sum is σ = 2212101111042. Its totient is φ = 2212101111040.

The previous prime is 2212101110963. The next prime is 2212101111043. The reversal of 2212101111041 is 1401111012122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1846348310416 + 365752800625 = 1358804^2 + 604775^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212101111041 - 2³⁰ = 2211027369217 is a prime.

It is a super-2 number, since 2×2212101111041² (a number of 25 digits) contains 22 as substring.

Together with 2212101111043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2212101111043) 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, 1106050555520 + 1106050555521.

It is an arithmetic number, because the mean of its divisors is an integer number (1106050555521).

Almost surely, 2^{2212101111041} is an apocalyptic number.

It is an amenable number.

2212101111041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212101111041 is an equidigital number, since it uses as much as digits as its factorization.

2212101111041 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2212101111041 its reverse (1401111012122), we get a palindrome (3613212123163).

The spelling of 2212101111041 in words is "two trillion, two hundred twelve billion, one hundred one million, one hundred eleven thousand, forty-one".