2002200212100 has 144 divisors (see below), whose sum is σ = 6384824220096. Its totient is φ = 480377856000.

The previous prime is 2002200212099. The next prime is 2002200212107. The reversal of 2002200212100 is 12120022002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2002200212107) 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 47 ways as a sum of consecutive naturals, for example, 2807361 + ... + 3447560.

It is an arithmetic number, because the mean of its divisors is an integer number (44339057084).

Almost surely, 2^{2002200212100} is an apocalyptic number.

2002200212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002200212100 is an abundant number, since it is smaller than the sum of its proper divisors (4382624007996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002200212100 is a wasteful number, since it uses less digits than its factorization.

2002200212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255046 (or 6255039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002200212100 its reverse (12120022002), we get a palindrome (2014320234102).

The spelling of 2002200212100 in words is "two trillion, two billion, two hundred million, two hundred twelve thousand, one hundred".