201020200001001 has 24 divisors (see below), whose sum is σ = 291830631955200. Its totient is φ = 133335914031936.

The previous prime is 201020200000967. The next prime is 201020200001053. The reversal of 201020200001001 is 100100002020102.

It is not a de Polignac number, because 201020200001001 - 2¹³ = 201020199992809 is a prime.

It is a super-3 number, since 3×201020200001001³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201020200002001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56825541 + ... + 60259293.

It is an arithmetic number, because the mean of its divisors is an integer number (12159609664800).

Almost surely, 2^{201020200001001} is an apocalyptic number.

It is an amenable number.

201020200001001 is a deficient number, since it is larger than the sum of its proper divisors (90810431954199).

201020200001001 is a wasteful number, since it uses less digits than its factorization.

201020200001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466645 (or 3466642 counting only the distinct ones).

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

Adding to 201020200001001 its reverse (100100002020102), we get a palindrome (301120202021103).

The spelling of 201020200001001 in words is "two hundred one trillion, twenty billion, two hundred million, one thousand, one".