1020102102161 has 2 divisors, whose sum is σ = 1020102102162. Its totient is φ = 1020102102160.

The previous prime is 1020102102077. The next prime is 1020102102163. The reversal of 1020102102161 is 1612012010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 921515521936 + 98586580225 = 959956^2 + 313985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020102102161 is a prime.

Together with 1020102102163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1020102102163) 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, 510051051080 + 510051051081.

It is an arithmetic number, because the mean of its divisors is an integer number (510051051081).

Almost surely, 2^{1020102102161} is an apocalyptic number.

It is an amenable number.

1020102102161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020102102161 is an equidigital number, since it uses as much as digits as its factorization.

1020102102161 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 17.

Adding to 1020102102161 its reverse (1612012010201), we get a palindrome (2632114112362).

The spelling of 1020102102161 in words is "one trillion, twenty billion, one hundred two million, one hundred two thousand, one hundred sixty-one".