601101101111001 has 64 divisors (see below), whose sum is σ = 841913141452800. Its totient is φ = 380754074739456.

The previous prime is 601101101110901. The next prime is 601101101111003. The reversal of 601101101111001 is 100111101101106.

It is not a de Polignac number, because 601101101111001 - 2²⁹ = 601100564240089 is a prime.

It is a super-2 number, since 2×601101101111001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (601101101111003) 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 63 ways as a sum of consecutive naturals, for example, 22649713590 + ... + 22649740128.

It is an arithmetic number, because the mean of its divisors is an integer number (13154892835200).

Almost surely, 2^{601101101111001} is an apocalyptic number.

It is an amenable number.

601101101111001 is a deficient number, since it is larger than the sum of its proper divisors (240812040341799).

601101101111001 is a wasteful number, since it uses less digits than its factorization.

601101101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30438.

The product of its (nonzero) digits is 6, while the sum is 15.

Adding to 601101101111001 its reverse (100111101101106), we get a palindrome (701212202212107).

The spelling of 601101101111001 in words is "six hundred one trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, one".