2312122212161 has 2 divisors, whose sum is σ = 2312122212162. Its totient is φ = 2312122212160.

The previous prime is 2312122212119. The next prime is 2312122212199. The reversal of 2312122212161 is 1612122212132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1328415299761 + 983706912400 = 1152569^2 + 991820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2312122212161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2312122212161.

It is not a weakly prime, because it can be changed into another prime (2312122262161) 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, 1156061106080 + 1156061106081.

It is an arithmetic number, because the mean of its divisors is an integer number (1156061106081).

Almost surely, 2^{2312122212161} is an apocalyptic number.

It is an amenable number.

2312122212161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312122212161 is an equidigital number, since it uses as much as digits as its factorization.

2312122212161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 26.

Adding to 2312122212161 its reverse (1612122212132), we get a palindrome (3924244424293).

The spelling of 2312122212161 in words is "two trillion, three hundred twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred sixty-one".