102200022100289 has 2 divisors, whose sum is σ = 102200022100290. Its totient is φ = 102200022100288.

The previous prime is 102200022100199. The next prime is 102200022100409. The reversal of 102200022100289 is 982001220002201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94029714459664 + 8170307640625 = 9696892^2 + 2858375^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200022100289 - 2⁴⁰ = 101100510472513 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102200022100789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100011050144 + 51100011050145.

It is an arithmetic number, because the mean of its divisors is an integer number (51100011050145).

Almost surely, 2^{102200022100289} is an apocalyptic number.

It is an amenable number.

102200022100289 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200022100289 is an equidigital number, since it uses as much as digits as its factorization.

102200022100289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 102200022100289 in words is "one hundred two trillion, two hundred billion, twenty-two million, one hundred thousand, two hundred eighty-nine".