2002200201001 has 64 divisors (see below), whose sum is σ = 2728141516800. Its totient is φ = 1418813625600.

The previous prime is 2002200200969. The next prime is 2002200201059. The reversal of 2002200201001 is 1001020022002.

It is not a de Polignac number, because 2002200201001 - 2⁵ = 2002200200969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002200201101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103682935 + ... + 103702243.

It is an arithmetic number, because the mean of its divisors is an integer number (42627211200).

Almost surely, 2^{2002200201001} is an apocalyptic number.

It is an amenable number.

2002200201001 is a deficient number, since it is larger than the sum of its proper divisors (725941315799).

2002200201001 is a wasteful number, since it uses less digits than its factorization.

2002200201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20870.

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

Adding to 2002200201001 its reverse (1001020022002), we get a palindrome (3003220223003).

The spelling of 2002200201001 in words is "two trillion, two billion, two hundred million, two hundred one thousand, one".