110010838961 has 2 divisors, whose sum is σ = 110010838962. Its totient is φ = 110010838960.

The previous prime is 110010838937. The next prime is 110010838967. The reversal of 110010838961 is 169838010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108475374736 + 1535464225 = 329356^2 + 39185^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010838961 - 2¹⁴ = 110010822577 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 (110010838967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005419480 + 55005419481.

It is an arithmetic number, because the mean of its divisors is an integer number (55005419481).

Almost surely, 2^110010838961 is an apocalyptic number.

It is an amenable number.

110010838961 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010838961 is an equidigital number, since it uses as much as digits as its factorization.

110010838961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 38.

Adding to 110010838961 its reverse (169838010011), we get a palindrome (279848848972).

The spelling of 110010838961 in words is "one hundred ten billion, ten million, eight hundred thirty-eight thousand, nine hundred sixty-one".