2002102020100 has 216 divisors, whose sum is σ = 5465451438720. Its totient is φ = 630976308480.

The previous prime is 2002102020053. The next prime is 2002102020103. The reversal of 2002102020100 is 10202012002.

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

It is not an unprimeable number, because it can be changed into a prime (2002102020103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15158547 + ... + 15290053.

It is an arithmetic number, because the mean of its divisors is an integer number (25303015920).

Almost surely, 2^{2002102020100} is an apocalyptic number.

2002102020100 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 2002102020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732725719360).

2002102020100 is an abundant number, since it is smaller than the sum of its proper divisors (3463349418620).

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

2002102020100 is a wasteful number, since it uses less digits than its factorization.

2002102020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131787 (or 131773 counting only the distinct ones).

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

Adding to 2002102020100 its reverse (10202012002), we get a palindrome (2012304032102).

The spelling of 2002102020100 in words is "two trillion, two billion, one hundred two million, twenty thousand, one hundred".