1000012000081 has 2 divisors, whose sum is σ = 1000012000082. Its totient is φ = 1000012000080.

The previous prime is 1000012000063. The next prime is 1000012000109. The reversal of 1000012000081 is 1800002100001.

1000012000081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 908430109456 + 91581890625 = 953116^2 + 302625^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000012000081 - 2¹⁵ = 1000011967313 is a prime.

It is a super-2 number, since 2×1000012000081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000012000381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500006000040 + 500006000041.

It is an arithmetic number, because the mean of its divisors is an integer number (500006000041).

Almost surely, 2^{1000012000081} is an apocalyptic number.

It is an amenable number.

1000012000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000012000081 is an equidigital number, since it uses as much as digits as its factorization.

1000012000081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1000012000081 its reverse (1800002100001), we get a palindrome (2800014100082).

The spelling of 1000012000081 in words is "one trillion, twelve million, eighty-one", and thus it is an aban number and an uban number.