101000105561 has 4 divisors (see below), whose sum is σ = 101001156324. Its totient is φ = 100999054800.

The previous prime is 101000105539. The next prime is 101000105567. The reversal of 101000105561 is 165501000101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 165501000101 = 261071 ⋅633931.

It can be written as a sum of positive squares in 2 ways, for example, as 55894416400 + 45105689161 = 236420^2 + 212381^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000105561 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101000105567) 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 3 ways as a sum of consecutive naturals, for example, 364850 + ... + 578891.

It is an arithmetic number, because the mean of its divisors is an integer number (25250289081).

Almost surely, 2^101000105561 is an apocalyptic number.

It is an amenable number.

101000105561 is a deficient number, since it is larger than the sum of its proper divisors (1050763).

101000105561 is an equidigital number, since it uses as much as digits as its factorization.

101000105561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050762.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 101000105561 its reverse (165501000101), we get a palindrome (266501105662).

The spelling of 101000105561 in words is "one hundred one billion, one hundred five thousand, five hundred sixty-one".