102200022222161 has 2 divisors, whose sum is σ = 102200022222162. Its totient is φ = 102200022222160.

The previous prime is 102200022222131. The next prime is 102200022222211. The reversal of 102200022222161 is 161222220002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95565405371536 + 6634616850625 = 9775756^2 + 2575775^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200022222161 - 2⁶ = 102200022222097 is a prime.

It is not a weakly prime, because it can be changed into another prime (102200022222101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100011111080 + 51100011111081.

It is an arithmetic number, because the mean of its divisors is an integer number (51100011111081).

Almost surely, 2^{102200022222161} is an apocalyptic number.

It is an amenable number.

102200022222161 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200022222161 is an equidigital number, since it uses as much as digits as its factorization.

102200022222161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 102200022222161 its reverse (161222220002201), we get a palindrome (263422242224362).

The spelling of 102200022222161 in words is "one hundred two trillion, two hundred billion, twenty-two million, two hundred twenty-two thousand, one hundred sixty-one".