330001100010101 has 24 divisors (see below), whose sum is σ = 362392911183816. Its totient is φ = 300311367782400.

The previous prime is 330001100010073. The next prime is 330001100010191. The reversal of 330001100010101 is 101010001100033.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 11000996400625 + 319000103609476 = 3316775^2 + 17860574^2 .

It is a de Polignac number, because none of the positive numbers 2^k-330001100010101 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 (330001100010191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22157951 + ... + 33926051.

It is an arithmetic number, because the mean of its divisors is an integer number (15099704632659).

Almost surely, 2^{330001100010101} is an apocalyptic number.

It is an amenable number.

330001100010101 is a deficient number, since it is larger than the sum of its proper divisors (32391811173715).

330001100010101 is a wasteful number, since it uses less digits than its factorization.

330001100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11770473 (or 11770460 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 330001100010101 its reverse (101010001100033), we get a palindrome (431011101110134).

The spelling of 330001100010101 in words is "three hundred thirty trillion, one billion, one hundred million, ten thousand, one hundred one".