2002102002100 has 72 divisors (see below), whose sum is σ = 4388239119096. Its totient is φ = 792792000000.

The previous prime is 2002102002097. The next prime is 2002102002157. The reversal of 2002102002100 is 12002012002.

It can be written as a sum of positive squares in 12 ways, for example, as 110453863716 + 1891648138384 = 332346^2 + 1375372^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 99990090 + ... + 100010110.

It is an arithmetic number, because the mean of its divisors is an integer number (60947765543).

Almost surely, 2^{2002102002100} is an apocalyptic number.

2002102002100 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 2002102002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194119559548).

2002102002100 is an abundant number, since it is smaller than the sum of its proper divisors (2386137116996).

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

2002102002100 is a wasteful number, since it uses less digits than its factorization.

2002102002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30037 (or 30030 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002102002100 its reverse (12002012002), we get a palindrome (2014104014102).

The spelling of 2002102002100 in words is "two trillion, two billion, one hundred two million, two thousand, one hundred".