101064632561 has 2 divisors, whose sum is σ = 101064632562. Its totient is φ = 101064632560.

The previous prime is 101064632549. The next prime is 101064632593. The reversal of 101064632561 is 165236460101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94605456400 + 6459176161 = 307580^2 + 80369^2 .

It is a cyclic number.

It is not a de Polignac number, because 101064632561 - 2⁶ = 101064632497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101064632261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50532316280 + 50532316281.

It is an arithmetic number, because the mean of its divisors is an integer number (50532316281).

Almost surely, 2^101064632561 is an apocalyptic number.

It is an amenable number.

101064632561 is a deficient number, since it is larger than the sum of its proper divisors (1).

101064632561 is an equidigital number, since it uses as much as digits as its factorization.

101064632561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 101064632561 in words is "one hundred one billion, sixty-four million, six hundred thirty-two thousand, five hundred sixty-one".