2210112110161 has 2 divisors, whose sum is σ = 2210112110162. Its totient is φ = 2210112110160.

The previous prime is 2210112110039. The next prime is 2210112110177. The reversal of 2210112110161 is 1610112110122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2119703046400 + 90409063761 = 1455920^2 + 300681^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210112110161 - 2⁹ = 2210112109649 is a prime.

It is not a weakly prime, because it can be changed into another prime (2210112110761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105056055080 + 1105056055081.

It is an arithmetic number, because the mean of its divisors is an integer number (1105056055081).

Almost surely, 2^{2210112110161} is an apocalyptic number.

It is an amenable number.

2210112110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210112110161 is an equidigital number, since it uses as much as digits as its factorization.

2210112110161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 2210112110161 its reverse (1610112110122), we get a palindrome (3820224220283).

The spelling of 2210112110161 in words is "two trillion, two hundred ten billion, one hundred twelve million, one hundred ten thousand, one hundred sixty-one".