101011111000081 has 2 divisors, whose sum is σ = 101011111000082. Its totient is φ = 101011111000080.

The previous prime is 101011111000031. The next prime is 101011111000153. The reversal of 101011111000081 is 180000111110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62124599831056 + 38886511169025 = 7881916^2 + 6235905^2 .

It is an emirp because it is prime and its reverse (180000111110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101011111000081 - 2⁹ = 101011110999569 is a prime.

It is a super-2 number, since 2×101011111000081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101011111000031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505555500040 + 50505555500041.

It is an arithmetic number, because the mean of its divisors is an integer number (50505555500041).

Almost surely, 2^{101011111000081} is an apocalyptic number.

It is an amenable number.

101011111000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011111000081 is an equidigital number, since it uses as much as digits as its factorization.

101011111000081 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 101011111000081 its reverse (180000111110101), we get a palindrome (281011222110182).

The spelling of 101011111000081 in words is "one hundred one trillion, eleven billion, one hundred eleven million, eighty-one", and thus it is an aban number.