201020100002001 has 24 divisors (see below), whose sum is σ = 346429197284640. Its totient is φ = 114868628571816.

The previous prime is 201020100001961. The next prime is 201020100002009. The reversal of 201020100002001 is 100200001020102.

201020100002001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201020100002001 - 2⁷ = 201020100001873 is a prime.

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 (201020100002009) 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, 75971313871 + ... + 75971316516.

It is an arithmetic number, because the mean of its divisors is an integer number (14434549886860).

Almost surely, 2^{201020100002001} is an apocalyptic number.

201020100002001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201020100002001 is a deficient number, since it is larger than the sum of its proper divisors (145409097282639).

201020100002001 is a wasteful number, since it uses less digits than its factorization.

201020100002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151942630410 (or 151942630397 counting only the distinct ones).

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

Adding to 201020100002001 its reverse (100200001020102), we get a palindrome (301220101022103).

The spelling of 201020100002001 in words is "two hundred one trillion, twenty billion, one hundred million, two thousand, one".