1001011100081 has 2 divisors, whose sum is σ = 1001011100082. Its totient is φ = 1001011100080.

The previous prime is 1001011100071. The next prime is 1001011100267. The reversal of 1001011100081 is 1800011101001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 990007090081 + 11004010000 = 994991^2 + 104900^2 .

It is an emirp because it is prime and its reverse (1800011101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001011100081 - 2¹⁴ = 1001011083697 is a prime.

It is a super-2 number, since 2×1001011100081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001011100021) 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, 500505550040 + 500505550041.

It is an arithmetic number, because the mean of its divisors is an integer number (500505550041).

Almost surely, 2^{1001011100081} is an apocalyptic number.

It is an amenable number.

1001011100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011100081 is an equidigital number, since it uses as much as digits as its factorization.

1001011100081 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 14.

Adding to 1001011100081 its reverse (1800011101001), we get a palindrome (2801022201082).

The spelling of 1001011100081 in words is "one trillion, one billion, eleven million, one hundred thousand, eighty-one".