200201002101001 has 64 divisors (see below), whose sum is σ = 247057236864000. Its totient is φ = 160050577899520.

The previous prime is 200201002100989. The next prime is 200201002101053. The reversal of 200201002101001 is 100101200102002.

It is not a de Polignac number, because 200201002101001 - 2⁵ = 200201002100969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200201002105001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18271665 + ... + 27097153.

It is an arithmetic number, because the mean of its divisors is an integer number (3860269326000).

Almost surely, 2^{200201002101001} is an apocalyptic number.

It is an amenable number.

200201002101001 is a deficient number, since it is larger than the sum of its proper divisors (46856234762999).

200201002101001 is a wasteful number, since it uses less digits than its factorization.

200201002101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8825682.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200201002101001 its reverse (100101200102002), we get a palindrome (300302202203003).

The spelling of 200201002101001 in words is "two hundred trillion, two hundred one billion, two million, one hundred one thousand, one".