102222100110161 has 2 divisors, whose sum is σ = 102222100110162. Its totient is φ = 102222100110160.

The previous prime is 102222100110139. The next prime is 102222100110211. The reversal of 102222100110161 is 161011001222201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58701110572225 + 43520989537936 = 7661665^2 + 6597044^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222100110161 - 2¹⁸ = 102222099848017 is a prime.

It is not a weakly prime, because it can be changed into another prime (102222100160161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111050055080 + 51111050055081.

It is an arithmetic number, because the mean of its divisors is an integer number (51111050055081).

Almost surely, 2^{102222100110161} is an apocalyptic number.

It is an amenable number.

102222100110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222100110161 is an equidigital number, since it uses as much as digits as its factorization.

102222100110161 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 102222100110161 its reverse (161011001222201), we get a palindrome (263233101332362).

The spelling of 102222100110161 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred million, one hundred ten thousand, one hundred sixty-one".