2221411812161 has 2 divisors, whose sum is σ = 2221411812162. Its totient is φ = 2221411812160.

The previous prime is 2221411812157. The next prime is 2221411812197. The reversal of 2221411812161 is 1612181141222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1339503002161 + 881908810000 = 1157369^2 + 939100^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221411812161 - 2² = 2221411812157 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221411812121) 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, 1110705906080 + 1110705906081.

It is an arithmetic number, because the mean of its divisors is an integer number (1110705906081).

Almost surely, 2^{2221411812161} is an apocalyptic number.

It is an amenable number.

2221411812161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221411812161 is an equidigital number, since it uses as much as digits as its factorization.

2221411812161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3072, while the sum is 32.

Adding to 2221411812161 its reverse (1612181141222), we get a palindrome (3833592953383).

It can be divided in two parts, 222141 and 1812161, that added together give a palindrome (2034302).

The spelling of 2221411812161 in words is "two trillion, two hundred twenty-one billion, four hundred eleven million, eight hundred twelve thousand, one hundred sixty-one".