110110010100289 has 2 divisors, whose sum is σ = 110110010100290. Its totient is φ = 110110010100288.

The previous prime is 110110010100221. The next prime is 110110010100317. The reversal of 110110010100289 is 982001010011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87186665264400 + 22923344835889 = 9337380^2 + 4787833^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110010100289 - 2¹³ = 110110010092097 is a prime.

It is not a weakly prime, because it can be changed into another prime (110110010100589) 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, 55055005050144 + 55055005050145.

It is an arithmetic number, because the mean of its divisors is an integer number (55055005050145).

Almost surely, 2^{110110010100289} is an apocalyptic number.

It is an amenable number.

110110010100289 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110010100289 is an equidigital number, since it uses as much as digits as its factorization.

110110010100289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 110110010100289 in words is "one hundred ten trillion, one hundred ten billion, ten million, one hundred thousand, two hundred eighty-nine".