1000010001081 has 96 divisors (see below), whose sum is σ = 1678634496000. Its totient is φ = 524867333760.

The previous prime is 1000010001079. The next prime is 1000010001083. The reversal of 1000010001081 is 1801000100001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000010001079) and next prime (1000010001083).

It is not a de Polignac number, because 1000010001081 - 2¹ = 1000010001079 is a prime.

It is a super-2 number, since 2×1000010001081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000010001083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 416843320 + ... + 416845718.

It is an arithmetic number, because the mean of its divisors is an integer number (17485776000).

Almost surely, 2^{1000010001081} is an apocalyptic number.

It is an amenable number.

1000010001081 is a deficient number, since it is larger than the sum of its proper divisors (678624494919).

1000010001081 is a wasteful number, since it uses less digits than its factorization.

1000010001081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1000010001081 its reverse (1801000100001), we get a palindrome (2801010101082).

The spelling of 1000010001081 in words is "one trillion, ten million, one thousand, eighty-one".