2002111102100 has 288 divisors, whose sum is σ = 4885967278080. Its totient is φ = 708470784000.

The previous prime is 2002111102091. The next prime is 2002111102171. The reversal of 2002111102100 is 12011112002.

It is a congruent number.

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, 516405362 + ... + 516409238.

It is an arithmetic number, because the mean of its divisors is an integer number (16965164160).

Almost surely, 2^{2002111102100} is an apocalyptic number.

2002111102100 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 2002111102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442983639040).

2002111102100 is an abundant number, since it is smaller than the sum of its proper divisors (2883856175980).

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

2002111102100 is a wasteful number, since it uses less digits than its factorization.

2002111102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2002111102100 its reverse (12011112002), we get a palindrome (2014122214102).

The spelling of 2002111102100 in words is "two trillion, two billion, one hundred eleven million, one hundred two thousand, one hundred".