2110002212161 has 2 divisors, whose sum is σ = 2110002212162. Its totient is φ = 2110002212160.

The previous prime is 2110002212147. The next prime is 2110002212251. The reversal of 2110002212161 is 1612122000112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1392730419600 + 717271792561 = 1180140^2 + 846919^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110002212161 - 2⁹ = 2110002211649 is a prime.

It is not a weakly prime, because it can be changed into another prime (2110002210161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055001106080 + 1055001106081.

It is an arithmetic number, because the mean of its divisors is an integer number (1055001106081).

Almost surely, 2^{2110002212161} is an apocalyptic number.

It is an amenable number.

2110002212161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110002212161 is an equidigital number, since it uses as much as digits as its factorization.

2110002212161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 2110002212161 its reverse (1612122000112), we get a palindrome (3722124212273).

The spelling of 2110002212161 in words is "two trillion, one hundred ten billion, two million, two hundred twelve thousand, one hundred sixty-one".