1000010000081 has 2 divisors, whose sum is σ = 1000010000082. Its totient is φ = 1000010000080.

The previous prime is 1000010000047. The next prime is 1000010000083. The reversal of 1000010000081 is 1800000100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 880697787025 + 119312213056 = 938455^2 + 345416^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000010000081 - 2³⁴ = 982830130897 is a prime.

It is a super-2 number, since 2×1000010000081² (a number of 25 digits) contains 22 as substring.

Together with 1000010000083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1000010000083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005000040 + 500005000041.

It is an arithmetic number, because the mean of its divisors is an integer number (500005000041).

Almost surely, 2^{1000010000081} is an apocalyptic number.

It is an amenable number.

1000010000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010000081 is an equidigital number, since it uses as much as digits as its factorization.

1000010000081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000010000081 its reverse (1800000100001), we get a palindrome (2800010100082).

The spelling of 1000010000081 in words is "one trillion, ten million, eighty-one", and thus it is an aban number and an uban number.