101064165001 has 8 divisors (see below), whose sum is σ = 108646807680. Its totient is φ = 93707869968.

The previous prime is 101064164987. The next prime is 101064165043. The reversal of 101064165001 is 100561460101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101064165001 - 2⁵ = 101064164969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101064165101) 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 in 7 ways as a sum of consecutive naturals, for example, 56585986 + ... + 56587771.

It is an arithmetic number, because the mean of its divisors is an integer number (13580850960).

Almost surely, 2^101064165001 is an apocalyptic number.

It is an amenable number.

101064165001 is a deficient number, since it is larger than the sum of its proper divisors (7582642679).

101064165001 is a wasteful number, since it uses less digits than its factorization.

101064165001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113173823.

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 101064165001 in words is "one hundred one billion, sixty-four million, one hundred sixty-five thousand, one".