2002102221200 has 120 divisors (see below), whose sum is σ = 4914492619008. Its totient is φ = 783466583040.

The previous prime is 2002102221199. The next prime is 2002102221233. The reversal of 2002102221200 is 21222012002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46470869 + ... + 46513931.

Almost surely, 2^{2002102221200} is an apocalyptic number.

2002102221200 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 2002102221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457246309504).

2002102221200 is an abundant number, since it is smaller than the sum of its proper divisors (2912390397808).

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

2002102221200 is a wasteful number, since it uses less digits than its factorization.

2002102221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45601 (or 45590 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2002102221200 its reverse (21222012002), we get a palindrome (2023324233202).

The spelling of 2002102221200 in words is "two trillion, two billion, one hundred two million, two hundred twenty-one thousand, two hundred".