2010202000100 has 288 divisors, whose sum is σ = 5142689346816. Its totient is φ = 667892736000.

The previous prime is 2010202000099. The next prime is 2010202000133. The reversal of 2010202000100 is 10002020102.

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, 707069279 + ... + 707072121.

It is an arithmetic number, because the mean of its divisors is an integer number (17856560232).

Almost surely, 2^{2010202000100} is an apocalyptic number.

2010202000100 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 2010202000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571344673408).

2010202000100 is an abundant number, since it is smaller than the sum of its proper divisors (3132487346716).

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

2010202000100 is a wasteful number, since it uses less digits than its factorization.

2010202000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3168 counting only the distinct ones).

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

Adding to 2010202000100 its reverse (10002020102), we get a palindrome (2020204020202).

The spelling of 2010202000100 in words is "two trillion, ten billion, two hundred two million, one hundred", and thus it is an aban number.