102102112122161 has 2 divisors, whose sum is σ = 102102112122162. Its totient is φ = 102102112122160.

The previous prime is 102102112122103. The next prime is 102102112122173. The reversal of 102102112122161 is 161221211201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61219592247025 + 40882519875136 = 7824295^2 + 6393944^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102112122161 - 2⁴⁶ = 31733367944497 is a prime.

It is not a weakly prime, because it can be changed into another prime (102102112122181) 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, 51051056061080 + 51051056061081.

It is an arithmetic number, because the mean of its divisors is an integer number (51051056061081).

Almost surely, 2^{102102112122161} is an apocalyptic number.

It is an amenable number.

102102112122161 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102112122161 is an equidigital number, since it uses as much as digits as its factorization.

102102112122161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 102102112122161 its reverse (161221211201201), we get a palindrome (263323323323362).

The spelling of 102102112122161 in words is "one hundred two trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred sixty-one".