5561105006101 has 2 divisors, whose sum is σ = 5561105006102. Its totient is φ = 5561105006100.

The previous prime is 5561105005997. The next prime is 5561105006111. The reversal of 5561105006101 is 1016005011655.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3093060864100 + 2468044142001 = 1758710^2 + 1571001^2 .

It is a cyclic number.

It is not a de Polignac number, because 5561105006101 - 2¹¹ = 5561105004053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5561105006111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2780552503050 + 2780552503051.

It is an arithmetic number, because the mean of its divisors is an integer number (2780552503051).

Almost surely, 2^{5561105006101} is an apocalyptic number.

It is an amenable number.

5561105006101 is a deficient number, since it is larger than the sum of its proper divisors (1).

5561105006101 is an equidigital number, since it uses as much as digits as its factorization.

5561105006101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 5561105006101 in words is "five trillion, five hundred sixty-one billion, one hundred five million, six thousand, one hundred one".