1061101056001 has 16 divisors (see below), whose sum is σ = 1248768718848. Its totient is φ = 882686131200.

The previous prime is 1061101055933. The next prime is 1061101056007. The reversal of 1061101056001 is 1006501011601.

It is a cyclic number.

It is not a de Polignac number, because 1061101056001 - 2³⁵ = 1026741317633 is a prime.

It is a super-2 number, since 2×1061101056001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061101056007) 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 15 ways as a sum of consecutive naturals, for example, 9623760 + ... + 9733393.

It is an arithmetic number, because the mean of its divisors is an integer number (78048044928).

Almost surely, 2^{1061101056001} is an apocalyptic number.

It is an amenable number.

1061101056001 is a deficient number, since it is larger than the sum of its proper divisors (187667662847).

1061101056001 is a wasteful number, since it uses less digits than its factorization.

1061101056001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19357392.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 1061101056001 its reverse (1006501011601), we get a palindrome (2067602067602).

The spelling of 1061101056001 in words is "one trillion, sixty-one billion, one hundred one million, fifty-six thousand, one".