1010110111081 has 2 divisors, whose sum is σ = 1010110111082. Its totient is φ = 1010110111080.

The previous prime is 1010110111079. The next prime is 1010110111097. The reversal of 1010110111081 is 1801110110101.

It is an a-pointer prime, because the next prime (1010110111097) can be obtained adding 1010110111081 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 515466561600 + 494643549481 = 717960^2 + 703309^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010110111081 - 2¹ = 1010110111079 is a prime.

It is a super-3 number, since 3×1010110111081³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1010110111079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1010110111481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055055540 + 505055055541.

It is an arithmetic number, because the mean of its divisors is an integer number (505055055541).

Almost surely, 2^{1010110111081} is an apocalyptic number.

It is an amenable number.

1010110111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110111081 is an equidigital number, since it uses as much as digits as its factorization.

1010110111081 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 1010110111081 its reverse (1801110110101), we get a palindrome (2811220221182).

The spelling of 1010110111081 in words is "one trillion, ten billion, one hundred ten million, one hundred eleven thousand, eighty-one".