2101212102161 has 2 divisors, whose sum is σ = 2101212102162. Its totient is φ = 2101212102160.

The previous prime is 2101212102151. The next prime is 2101212102167. The reversal of 2101212102161 is 1612012121012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1641073729936 + 460138372225 = 1281044^2 + 678335^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101212102161 - 2³⁰ = 2100138360337 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101212102167) 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, 1050606051080 + 1050606051081.

It is an arithmetic number, because the mean of its divisors is an integer number (1050606051081).

Almost surely, 2^{2101212102161} is an apocalyptic number.

It is an amenable number.

2101212102161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101212102161 is an equidigital number, since it uses as much as digits as its factorization.

2101212102161 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 20.

Adding to 2101212102161 its reverse (1612012121012), we get a palindrome (3713224223173).

The spelling of 2101212102161 in words is "two trillion, one hundred one billion, two hundred twelve million, one hundred two thousand, one hundred sixty-one".