101563421765 has 32 divisors (see below), whose sum is σ = 135782892000. Its totient is φ = 72440745984.

The previous prime is 101563421723. The next prime is 101563421777. The reversal of 101563421765 is 567124365101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 35809128289 + 65754293476 = 189233^2 + 256426^2 .

It is a cyclic number.

It is not a de Polignac number, because 101563421765 - 2²⁰ = 101562373189 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 175361 + ... + 483609.

It is an arithmetic number, because the mean of its divisors is an integer number (4243215375).

Almost surely, 2^101563421765 is an apocalyptic number.

It is an amenable number.

101563421765 is a deficient number, since it is larger than the sum of its proper divisors (34219470235).

101563421765 is a wasteful number, since it uses less digits than its factorization.

101563421765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308441.

The product of its (nonzero) digits is 151200, while the sum is 41.

Adding to 101563421765 its reverse (567124365101), we get a palindrome (668687786866).

The spelling of 101563421765 in words is "one hundred one billion, five hundred sixty-three million, four hundred twenty-one thousand, seven hundred sixty-five".