1001061101081 has 2 divisors, whose sum is σ = 1001061101082. Its totient is φ = 1001061101080.

The previous prime is 1001061101063. The next prime is 1001061101107. The reversal of 1001061101081 is 1801011601001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 852466270681 + 148594830400 = 923291^2 + 385480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001061101081 is a prime.

It is a super-2 number, since 2×1001061101081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001061101041) 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, 500530550540 + 500530550541.

It is an arithmetic number, because the mean of its divisors is an integer number (500530550541).

Almost surely, 2^{1001061101081} is an apocalyptic number.

It is an amenable number.

1001061101081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001061101081 is an equidigital number, since it uses as much as digits as its factorization.

1001061101081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 1001061101081 its reverse (1801011601001), we get a palindrome (2802072702082).

The spelling of 1001061101081 in words is "one trillion, one billion, sixty-one million, one hundred one thousand, eighty-one".