2002121101200 has 480 divisors, whose sum is σ = 7437752524800. Its totient is φ = 455258880000.

The previous prime is 2002121101187. The next prime is 2002121101223. The reversal of 2002121101200 is 21011212002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25291281 + ... + 25370319.

It is an arithmetic number, because the mean of its divisors is an integer number (15495317760).

Almost surely, 2^{2002121101200} is an apocalyptic number.

2002121101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002121101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718876262400).

2002121101200 is an abundant number, since it is smaller than the sum of its proper divisors (5435631423600).

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

2002121101200 is a wasteful number, since it uses less digits than its factorization.

2002121101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79191 (or 79180 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002121101200 its reverse (21011212002), we get a palindrome (2023132313202).

The spelling of 2002121101200 in words is "two trillion, two billion, one hundred twenty-one million, one hundred one thousand, two hundred".