110101100999999 has 2 divisors, whose sum is σ = 110101101000000. Its totient is φ = 110101100999998.

The previous prime is 110101100999993. The next prime is 110101101000001. The reversal of 110101100999999 is 999999001101011.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 110101100999999 - 2¹² = 110101100995903 is a prime.

Together with 110101101000001, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101100999993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050550499999 + 55050550500000.

It is an arithmetic number, because the mean of its divisors is an integer number (55050550500000).

Almost surely, 2^{110101100999999} is an apocalyptic number.

110101100999999 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101100999999 is an equidigital number, since it uses as much as digits as its factorization.

110101100999999 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 531441, while the sum is 59.

The spelling of 110101100999999 in words is "one hundred ten trillion, one hundred one billion, one hundred million, nine hundred ninety-nine thousand, nine hundred ninety-nine".