2166111121441 has 2 divisors, whose sum is σ = 2166111121442. Its totient is φ = 2166111121440.

The previous prime is 2166111121429. The next prime is 2166111121547. The reversal of 2166111121441 is 1441211116612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1474777075216 + 691334046225 = 1214404^2 + 831465^2 .

It is a cyclic number.

It is not a de Polignac number, because 2166111121441 - 2⁵ = 2166111121409 is a prime.

It is not a weakly prime, because it can be changed into another prime (2166111191441) 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, 1083055560720 + 1083055560721.

It is an arithmetic number, because the mean of its divisors is an integer number (1083055560721).

Almost surely, 2^{2166111121441} is an apocalyptic number.

It is an amenable number.

2166111121441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2166111121441 is an equidigital number, since it uses as much as digits as its factorization.

2166111121441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 31.

The spelling of 2166111121441 in words is "two trillion, one hundred sixty-six billion, one hundred eleven million, one hundred twenty-one thousand, four hundred forty-one".