2000100201 has 16 divisors (see below), whose sum is σ = 3080369088. Its totient is φ = 1140876800.

The previous prime is 2000100199. The next prime is 2000100299. The reversal of 2000100201 is 1020010002.

It is a happy number.

It is not a de Polignac number, because 2000100201 - 2¹ = 2000100199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2000100201.

It is not an unprimeable number, because it can be changed into a prime (2000102201) 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, 1782060 + ... + 1783181.

It is an arithmetic number, because the mean of its divisors is an integer number (192523068).

Almost surely, 2^2000100201 is an apocalyptic number.

It is an amenable number.

2000100201 is a deficient number, since it is larger than the sum of its proper divisors (1080268887).

2000100201 is a wasteful number, since it uses less digits than its factorization.

2000100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565272.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2000100201 is about 44722.4798172016. The cubic root of 2000100201 is about 1259.9420904350.

Adding to 2000100201 its reverse (1020010002), we get a palindrome (3020110203).

It can be divided in two parts, 2000 and 100201, that added together give a palindrome (102201).

The spelling of 2000100201 in words is "two billion, one hundred thousand, two hundred one".