201020100020001 has 24 divisors (see below), whose sum is σ = 290471272670280. Its totient is φ = 133963141939200.

The previous prime is 201020100019987. The next prime is 201020100020027. The reversal of 201020100020001 is 100020001020102.

It can be written as a sum of positive squares in 4 ways, for example, as 179692550453025 + 21327549566976 = 13404945^2 + 4618176^2 .

It is not a de Polignac number, because 201020100020001 - 2¹⁰ = 201020100018977 is a prime.

It is a super-2 number, since 2×201020100020001² (a number of 29 digits) contains 22 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 (201020100020401) 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, 400276065 + ... + 400777953.

It is an arithmetic number, because the mean of its divisors is an integer number (12102969694595).

Almost surely, 2^{201020100020001} is an apocalyptic number.

It is an amenable number.

201020100020001 is a deficient number, since it is larger than the sum of its proper divisors (89451172650279).

201020100020001 is a wasteful number, since it uses less digits than its factorization.

201020100020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518497 (or 518494 counting only the distinct ones).

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

Adding to 201020100020001 its reverse (100020001020102), we get a palindrome (301040101040103).

The spelling of 201020100020001 in words is "two hundred one trillion, twenty billion, one hundred million, twenty thousand, one".