2002201022100 has 144 divisors (see below), whose sum is σ = 5866969559360. Its totient is φ = 527148518400.

The previous prime is 2002201022077. The next prime is 2002201022177. The reversal of 2002201022100 is 12201022002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7415064 + ... + 7680336.

Almost surely, 2^{2002201022100} is an apocalyptic number.

2002201022100 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 2002201022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933484779680).

2002201022100 is an abundant number, since it is smaller than the sum of its proper divisors (3864768537260).

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

2002201022100 is a wasteful number, since it uses less digits than its factorization.

2002201022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265610 (or 265603 counting only the distinct ones).

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

Adding to 2002201022100 its reverse (12201022002), we get a palindrome (2014402044102).

The spelling of 2002201022100 in words is "two trillion, two billion, two hundred one million, twenty-two thousand, one hundred".