110010681086101 has 2 divisors, whose sum is σ = 110010681086102. Its totient is φ = 110010681086100.

The previous prime is 110010681086099. The next prime is 110010681086153. The reversal of 110010681086101 is 101680186010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102218772708900 + 7791908377201 = 10110330^2 + 2791399^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010681086101 - 2¹ = 110010681086099 is a prime.

Together with 110010681086099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110010681086161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005340543050 + 55005340543051.

It is an arithmetic number, because the mean of its divisors is an integer number (55005340543051).

Almost surely, 2^{110010681086101} is an apocalyptic number.

It is an amenable number.

110010681086101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010681086101 is an equidigital number, since it uses as much as digits as its factorization.

110010681086101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 34.

The spelling of 110010681086101 in words is "one hundred ten trillion, ten billion, six hundred eighty-one million, eighty-six thousand, one hundred one".