2002200102000 has 240 divisors, whose sum is σ = 7992020567232. Its totient is φ = 457645708800.

The previous prime is 2002200101999. The next prime is 2002200102103. The reversal of 2002200102000 is 2010022002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7819239 + ... + 8071238.

Almost surely, 2^{2002200102000} is an apocalyptic number.

2002200102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002200102000 is an abundant number, since it is smaller than the sum of its proper divisors (5989820465232).

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

2002200102000 is a wasteful number, since it uses less digits than its factorization.

2002200102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15890513 (or 15890494 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2002200102000 its reverse (2010022002), we get a palindrome (2004210124002).

The spelling of 2002200102000 in words is "two trillion, two billion, two hundred million, one hundred two thousand".