10561100101 has 2 divisors, whose sum is σ = 10561100102. Its totient is φ = 10561100100.

The previous prime is 10561100083. The next prime is 10561100107. The reversal of 10561100101 is 10100116501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10256423076 + 304677025 = 101274^2 + 17455^2 .

It is a cyclic number.

It is not a de Polignac number, because 10561100101 - 2¹⁵ = 10561067333 is a prime.

It is a super-2 number, since 2×10561100101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10561100107) 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, 5280550050 + 5280550051.

It is an arithmetic number, because the mean of its divisors is an integer number (5280550051).

Almost surely, 2^10561100101 is an apocalyptic number.

It is an amenable number.

10561100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10561100101 is an equidigital number, since it uses as much as digits as its factorization.

10561100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 10561100101 its reverse (10100116501), we get a palindrome (20661216602).

The spelling of 10561100101 in words is "ten billion, five hundred sixty-one million, one hundred thousand, one hundred one".