2000201021 has 36 divisors (see below), whose sum is σ = 2606706900. Its totient is φ = 1527821568.

The previous prime is 2000200991. The next prime is 2000201057. The reversal of 2000201021 is 1201020002.

It can be written as a sum of positive squares in 6 ways, for example, as 622752025 + 1377448996 = 24955^2 + 37114^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2000201021 is a prime.

It is a super-3 number, since 3×2000201021³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000201321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235985 + ... + 244313.

It is an arithmetic number, because the mean of its divisors is an integer number (72408525).

Almost surely, 2^2000201021 is an apocalyptic number.

It is an amenable number.

2000201021 is a deficient number, since it is larger than the sum of its proper divisors (606505879).

2000201021 is a wasteful number, since it uses less digits than its factorization.

2000201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8398 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2000201021 is about 44723.6069766292. The cubic root of 2000201021 is about 1259.9632602456.

Adding to 2000201021 its reverse (1201020002), we get a palindrome (3201221023).

The spelling of 2000201021 in words is "two billion, two hundred one thousand, twenty-one".