11101101100289 has 2 divisors, whose sum is σ = 11101101100290. Its totient is φ = 11101101100288.

The previous prime is 11101101100277. The next prime is 11101101100301. The reversal of 11101101100289 is 98200110110111.

It is a balanced prime because it is at equal distance from previous prime (11101101100277) and next prime (11101101100301).

It can be written as a sum of positive squares in only one way, i.e., 8580681318400 + 2520419781889 = 2929280^2 + 1587583^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101101100289 - 2³⁶ = 11032381623553 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 (11101101103289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550550550144 + 5550550550145.

It is an arithmetic number, because the mean of its divisors is an integer number (5550550550145).

Almost surely, 2^{11101101100289} is an apocalyptic number.

It is an amenable number.

11101101100289 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101101100289 is an equidigital number, since it uses as much as digits as its factorization.

11101101100289 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 26.

The spelling of 11101101100289 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred thousand, two hundred eighty-nine".