1006061051101 has 2 divisors, whose sum is σ = 1006061051102. Its totient is φ = 1006061051100.

The previous prime is 1006061051063. The next prime is 1006061051117. The reversal of 1006061051101 is 1011501606001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 535809360100 + 470251691001 = 731990^2 + 685749^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006061051101 - 2²³ = 1006052662493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006061051201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503030525550 + 503030525551.

It is an arithmetic number, because the mean of its divisors is an integer number (503030525551).

Almost surely, 2^{1006061051101} is an apocalyptic number.

It is an amenable number.

1006061051101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006061051101 is an equidigital number, since it uses as much as digits as its factorization.

1006061051101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1006061051101 its reverse (1011501606001), we get a palindrome (2017562657102).

The spelling of 1006061051101 in words is "one trillion, six billion, sixty-one million, fifty-one thousand, one hundred one".