2002020100001 has 4 divisors (see below), whose sum is σ = 2002049979972. Its totient is φ = 2001990220032.

The previous prime is 2002020099997. The next prime is 2002020100007. The reversal of 2002020100001 is 1000010202002.

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 442656024976 + 1559364075025 = 665324^2 + 1248745^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002020100001 - 2² = 2002020099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002020100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14839256 + ... + 14973561.

It is an arithmetic number, because the mean of its divisors is an integer number (500512494993).

Almost surely, 2^{2002020100001} is an apocalyptic number.

It is an amenable number.

2002020100001 is a deficient number, since it is larger than the sum of its proper divisors (29879971).

2002020100001 is an equidigital number, since it uses as much as digits as its factorization.

2002020100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29879970.

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

Adding to 2002020100001 its reverse (1000010202002), we get a palindrome (3002030302003).

The spelling of 2002020100001 in words is "two trillion, two billion, twenty million, one hundred thousand, one".