101042645664 has 48 divisors (see below), whose sum is σ = 266346783360. Its totient is φ = 33539950080.

The previous prime is 101042645653. The next prime is 101042645701. The reversal of 101042645664 is 466546240101.

101042645664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 2178997 + ... + 2224884.

It is an arithmetic number, because the mean of its divisors is an integer number (5548891320).

Almost surely, 2^101042645664 is an apocalyptic number.

It is an amenable number.

101042645664 is an abundant number, since it is smaller than the sum of its proper divisors (165304137696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101042645664 is a wasteful number, since it uses less digits than its factorization.

101042645664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404133 (or 4404125 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 101042645664 its reverse (466546240101), we get a palindrome (567588885765).

The spelling of 101042645664 in words is "one hundred one billion, forty-two million, six hundred forty-five thousand, six hundred sixty-four".