22100011102289 has 2 divisors, whose sum is σ = 22100011102290. Its totient is φ = 22100011102288.

The previous prime is 22100011102201. The next prime is 22100011102297. The reversal of 22100011102289 is 98220111000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14831487261889 + 7268523840400 = 3851167^2 + 2696020^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100011102289 - 2⁴⁴ = 4507825057873 is a prime.

It is not a weakly prime, because it can be changed into another prime (22100011302289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050005551144 + 11050005551145.

It is an arithmetic number, because the mean of its divisors is an integer number (11050005551145).

Almost surely, 2^{22100011102289} is an apocalyptic number.

It is an amenable number.

22100011102289 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100011102289 is an equidigital number, since it uses as much as digits as its factorization.

22100011102289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 22100011102289 in words is "twenty-two trillion, one hundred billion, eleven million, one hundred two thousand, two hundred eighty-nine".