2002200102001 has 20 divisors (see below), whose sum is σ = 2210361839860. Its totient is φ = 1813607183520.

The previous prime is 2002200101999. The next prime is 2002200102103. The reversal of 2002200102001 is 1002010022002.

It can be written as a sum of positive squares in 2 ways, for example, as 230639102001 + 1771561000000 = 480249^2 + 1331000^2 .

It is not a de Polignac number, because 2002200102001 - 2¹ = 2002200101999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002200108001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3808711 + ... + 4302403.

It is an arithmetic number, because the mean of its divisors is an integer number (110518091993).

Almost surely, 2^{2002200102001} is an apocalyptic number.

It is an amenable number.

2002200102001 is a deficient number, since it is larger than the sum of its proper divisors (208161737859).

2002200102001 is an frugal number, since it uses more digits than its factorization.

2002200102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494014 (or 493981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002200102001 its reverse (1002010022002), we get a palindrome (3004210124003).

The spelling of 2002200102001 in words is "two trillion, two billion, two hundred million, one hundred two thousand, one".