201002000 has 40 divisors (see below), whose sum is σ = 486027672. Its totient is φ = 80400000.

The previous prime is 201001951. The next prime is 201002057. The reversal of 201002000 is 200102.

It can be written as a sum of positive squares in 4 ways, for example, as 30647296 + 170354704 = 5536^2 + 13052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48251 + ... + 52250.

Almost surely, 2^201002000 is an apocalyptic number.

201002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002000 is an abundant number, since it is smaller than the sum of its proper divisors (285025672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201002000 is a wasteful number, since it uses less digits than its factorization.

201002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100524 (or 100508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 201002000 is about 14177.5174131440. The cubic root of 201002000 is about 585.7785431329.

Adding to 201002000 its reverse (200102), we get a palindrome (201202102).

The spelling of 201002000 in words is "two hundred one million, two thousand".