202110002100 has 216 divisors, whose sum is σ = 641877589080. Its totient is φ = 53185904640.

The previous prime is 202110002099. The next prime is 202110002111. The reversal of 202110002100 is 1200011202.

It can be written as a sum of positive squares in 12 ways, for example, as 19040688144 + 183069313956 = 137988^2 + 427866^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46215514 + ... + 46219886.

It is an arithmetic number, because the mean of its divisors is an integer number (2971655505).

Almost surely, 2^202110002100 is an apocalyptic number.

202110002100 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 202110002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320938794540).

202110002100 is an abundant number, since it is smaller than the sum of its proper divisors (439767586980).

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

202110002100 is a wasteful number, since it uses less digits than its factorization.

202110002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202110002100 its reverse (1200011202), we get a palindrome (203310013302).

The spelling of 202110002100 in words is "two hundred two billion, one hundred ten million, two thousand, one hundred".