10105211603561 has 2 divisors, whose sum is σ = 10105211603562. Its totient is φ = 10105211603560.

The previous prime is 10105211603533. The next prime is 10105211603611. The reversal of 10105211603561 is 16530611250101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7907906410000 + 2197305193561 = 2812100^2 + 1482331^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105211603561 - 2¹⁰ = 10105211602537 is a prime.

It is not a weakly prime, because it can be changed into another prime (10105211003561) 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, 5052605801780 + 5052605801781.

It is an arithmetic number, because the mean of its divisors is an integer number (5052605801781).

Almost surely, 2^{10105211603561} is an apocalyptic number.

It is an amenable number.

10105211603561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105211603561 is an equidigital number, since it uses as much as digits as its factorization.

10105211603561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 32.

Adding to 10105211603561 its reverse (16530611250101), we get a palindrome (26635822853662).

The spelling of 10105211603561 in words is "ten trillion, one hundred five billion, two hundred eleven million, six hundred three thousand, five hundred sixty-one".