110101101000049 has 2 divisors, whose sum is σ = 110101101000050. Its totient is φ = 110101101000048.

The previous prime is 110101101000041. The next prime is 110101101000103. The reversal of 110101101000049 is 940000101101011.

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., 109649694390625 + 451406609424 = 10471375^2 + 671868^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101101000049 - 2³ = 110101101000041 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101101000041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050550500024 + 55050550500025.

It is an arithmetic number, because the mean of its divisors is an integer number (55050550500025).

Almost surely, 2^{110101101000049} is an apocalyptic number.

It is an amenable number.

110101101000049 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101101000049 is an equidigital number, since it uses as much as digits as its factorization.

110101101000049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 110101101000049 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, forty-nine", and thus it is an aban number.