101164313535663 has 16 divisors (see below), whose sum is σ = 158321499691520. Its totient is φ = 56245795942176.

The previous prime is 101164313535553. The next prime is 101164313535667. The reversal of 101164313535663 is 366535313461101.

It is not a de Polignac number, because 101164313535663 - 2¹⁸ = 101164313273519 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101164313535667) 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 in 15 ways as a sum of consecutive naturals, for example, 65099300083 + ... + 65099301636.

It is an arithmetic number, because the mean of its divisors is an integer number (9895093730720).

Almost surely, 2^{101164313535663} is an apocalyptic number.

101164313535663 is a deficient number, since it is larger than the sum of its proper divisors (57157186155857).

101164313535663 is a wasteful number, since it uses less digits than its factorization.

101164313535663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130198601766.

The product of its (nonzero) digits is 1749600, while the sum is 48.

Adding to 101164313535663 its reverse (366535313461101), we get a palindrome (467699626996764).

The spelling of 101164313535663 in words is "one hundred one trillion, one hundred sixty-four billion, three hundred thirteen million, five hundred thirty-five thousand, six hundred sixty-three".