10000110052561 has 2 divisors, whose sum is σ = 10000110052562. Its totient is φ = 10000110052560.

The previous prime is 10000110052511. The next prime is 10000110052601. The reversal of 10000110052561 is 16525001100001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7139749664961 + 2860360387600 = 2672031^2 + 1691260^2 .

It is an emirp because it is prime and its reverse (16525001100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000110052561 - 2¹⁹ = 10000109528273 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000110052511) 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 as a sum of consecutive naturals, namely, 5000055026280 + 5000055026281.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055026281).

Almost surely, 2^{10000110052561} is an apocalyptic number.

It is an amenable number.

10000110052561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000110052561 is an equidigital number, since it uses as much as digits as its factorization.

10000110052561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 22.

Adding to 10000110052561 its reverse (16525001100001), we get a palindrome (26525111152562).

The spelling of 10000110052561 in words is "ten trillion, one hundred ten million, fifty-two thousand, five hundred sixty-one".