1001061101064 has 128 divisors (see below), whose sum is σ = 2546730720000. Its totient is φ = 327848361984.

The previous prime is 1001061101063. The next prime is 1001061101081. The reversal of 1001061101064 is 4601011601001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001061101064.

It is not an unprimeable number, because it can be changed into a prime (1001061101063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 710475592 + ... + 710477000.

It is an arithmetic number, because the mean of its divisors is an integer number (19896333750).

Almost surely, 2^{1001061101064} is an apocalyptic number.

It is an amenable number.

1001061101064 is an abundant number, since it is smaller than the sum of its proper divisors (1545669618936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001061101064 is a wasteful number, since it uses less digits than its factorization.

1001061101064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 1001061101064 its reverse (4601011601001), we get a palindrome (5602072702065).

The spelling of 1001061101064 in words is "one trillion, one billion, sixty-one million, one hundred one thousand, sixty-four".