100165010601001 has 4 divisors (see below), whose sum is σ = 100165103920900. Its totient is φ = 100164917281104.

The previous prime is 100165010600981. The next prime is 100165010601013. The reversal of 100165010601001 is 100106010561001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 74986091621401 + 25178918979600 = 8659451^2 + 5017860^2 .

It is a cyclic number.

It is not a de Polignac number, because 100165010601001 - 2⁹ = 100165010600489 is a prime.

It is a super-2 number, since 2×100165010601001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100165010601101) 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 3 ways as a sum of consecutive naturals, for example, 45030966 + ... + 47202943.

It is an arithmetic number, because the mean of its divisors is an integer number (25041275980225).

Almost surely, 2^{100165010601001} is an apocalyptic number.

It is an amenable number.

100165010601001 is a deficient number, since it is larger than the sum of its proper divisors (93319899).

100165010601001 is an equidigital number, since it uses as much as digits as its factorization.

100165010601001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93319898.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 100165010601001 in words is "one hundred trillion, one hundred sixty-five billion, ten million, six hundred one thousand, one".