2000120333201 has 16 divisors (see below), whose sum is σ = 2051435529360. Its totient is φ = 1948926996480.

The previous prime is 2000120333177. The next prime is 2000120333231. The reversal of 2000120333201 is 1023330210002.

It can be written as a sum of positive squares in 8 ways, for example, as 1043919932176 + 956200401025 = 1021724^2 + 977855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000120333201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2000120333201.

It is not an unprimeable number, because it can be changed into a prime (2000120333231) 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 15 ways as a sum of consecutive naturals, for example, 177420101 + ... + 177431373.

It is an arithmetic number, because the mean of its divisors is an integer number (128214720585).

Almost surely, 2^{2000120333201} is an apocalyptic number.

It is an amenable number.

2000120333201 is a deficient number, since it is larger than the sum of its proper divisors (51315196159).

2000120333201 is a wasteful number, since it uses less digits than its factorization.

2000120333201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16276.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2000120333201 its reverse (1023330210002), we get a palindrome (3023450543203).

The spelling of 2000120333201 in words is "two trillion, one hundred twenty million, three hundred thirty-three thousand, two hundred one".