110101010099953 has 2 divisors, whose sum is σ = 110101010099954. Its totient is φ = 110101010099952.

The previous prime is 110101010099939. The next prime is 110101010100047. The reversal of 110101010099953 is 359990010101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108461872737009 + 1639137362944 = 10414503^2 + 1280288^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101010099953 - 2⁹ = 110101010099441 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101010099653) 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, 55050505049976 + 55050505049977.

It is an arithmetic number, because the mean of its divisors is an integer number (55050505049977).

Almost surely, 2^{110101010099953} is an apocalyptic number.

It is an amenable number.

110101010099953 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101010099953 is an equidigital number, since it uses as much as digits as its factorization.

110101010099953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10935, while the sum is 40.

The spelling of 110101010099953 in words is "one hundred ten trillion, one hundred one billion, ten million, ninety-nine thousand, nine hundred fifty-three".