10110111100081 has 2 divisors, whose sum is σ = 10110111100082. Its totient is φ = 10110111100080.

The previous prime is 10110111100079. The next prime is 10110111100121. The reversal of 10110111100081 is 18000111101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6144771688225 + 3965339411856 = 2478865^2 + 1991316^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110111100081 - 2¹ = 10110111100079 is a prime.

It is a super-2 number, since 2×10110111100081² (a number of 27 digits) contains 22 as substring.

Together with 10110111100079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10110111100031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055055550040 + 5055055550041.

It is an arithmetic number, because the mean of its divisors is an integer number (5055055550041).

Almost surely, 2^{10110111100081} is an apocalyptic number.

It is an amenable number.

10110111100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110111100081 is an equidigital number, since it uses as much as digits as its factorization.

10110111100081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 10110111100081 its reverse (18000111101101), we get a palindrome (28110222201182).

The spelling of 10110111100081 in words is "ten trillion, one hundred ten billion, one hundred eleven million, one hundred thousand, eighty-one".