200201002010001 has 6 divisors (see below), whose sum is σ = 289179225125570. Its totient is φ = 133467334673328.

The previous prime is 200201002009963. The next prime is 200201002010003. The reversal of 200201002010001 is 100010200102002.

It can be written as a sum of positive squares in only one way, i.e., 193957875119376 + 6243126890625 = 13926876^2 + 2498625^2 .

It is not a de Polignac number, because 200201002010001 - 2⁶ = 200201002009937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 22244555778889 = 200201002010001 / (2 + 0 + 0 + 2 + 0 + 1 + 0 + 0 + 2 + 0 + 1 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200201002010003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11122277889436 + ... + 11122277889453.

Almost surely, 2^{200201002010001} is an apocalyptic number.

It is an amenable number.

200201002010001 is a deficient number, since it is larger than the sum of its proper divisors (88978223115569).

200201002010001 is a wasteful number, since it uses less digits than its factorization.

200201002010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22244555778895 (or 22244555778892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200201002010001 its reverse (100010200102002), we get a palindrome (300211202112003).

The spelling of 200201002010001 in words is "two hundred trillion, two hundred one billion, two million, ten thousand, one".