1001010100561 has 2 divisors, whose sum is σ = 1001010100562. Its totient is φ = 1001010100560.

The previous prime is 1001010100477. The next prime is 1001010100637. The reversal of 1001010100561 is 1650010101001.

1001010100561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 967783737600 + 33226362961 = 983760^2 + 182281^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001010100561 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007010100561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505050280 + 500505050281.

It is an arithmetic number, because the mean of its divisors is an integer number (500505050281).

Almost surely, 2^{1001010100561} is an apocalyptic number.

It is an amenable number.

1001010100561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010100561 is an equidigital number, since it uses as much as digits as its factorization.

1001010100561 is an evil number, because the sum of its binary digits is even.

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

Adding to 1001010100561 its reverse (1650010101001), we get a palindrome (2651020201562).

The spelling of 1001010100561 in words is "one trillion, one billion, ten million, one hundred thousand, five hundred sixty-one".