200200002100 has 72 divisors (see below), whose sum is σ = 497516351360. Its totient is φ = 68498939520.

The previous prime is 200200002089. The next prime is 200200002109. The reversal of 200200002100 is 1200002002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200002109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47266 + ... + 634534.

Almost surely, 2^200200002100 is an apocalyptic number.

200200002100 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 200200002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248758175680).

200200002100 is an abundant number, since it is smaller than the sum of its proper divisors (297316349260).

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

200200002100 is a wasteful number, since it uses less digits than its factorization.

200200002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587777 (or 587770 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 200200002100 its reverse (1200002002), we get a palindrome (201400004102).

The spelling of 200200002100 in words is "two hundred billion, two hundred million, two thousand, one hundred".