2010201000001 has 4 divisors (see below), whose sum is σ = 2010314710404. Its totient is φ = 2010087289600.

The previous prime is 2010200999977. The next prime is 2010201000023. The reversal of 2010201000001 is 1000001020102.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1490902050625 + 519298949376 = 1221025^2 + 720624^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010201000001 - 2¹⁹ = 2010200475713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010201003001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56828680 + ... + 56864041.

It is an arithmetic number, because the mean of its divisors is an integer number (502578677601).

Almost surely, 2^{2010201000001} is an apocalyptic number.

It is an amenable number.

2010201000001 is a deficient number, since it is larger than the sum of its proper divisors (113710403).

2010201000001 is a wasteful number, since it uses less digits than its factorization.

2010201000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113710402.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2010201000001 its reverse (1000001020102), we get a palindrome (3010202020103).

It can be divided in two parts, 201020 and 1000001, that added together give a palindrome (1201021).

The spelling of 2010201000001 in words is "two trillion, ten billion, two hundred one million, one", and thus it is an aban number.