200101300 has 108 divisors (see below), whose sum is σ = 511532364. Its totient is φ = 67737600.

The previous prime is 200101283. The next prime is 200101309. The reversal of 200101300 is 3101002.

It can be written as a sum of positive squares in 6 ways, for example, as 50381604 + 149719696 = 7098^2 + 12236^2 .

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 (200101309) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 475090 + ... + 475510.

Almost surely, 2^200101300 is an apocalyptic number.

200101300 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 200101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255766182).

200101300 is an abundant number, since it is smaller than the sum of its proper divisors (311431064).

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

200101300 is a wasteful number, since it uses less digits than its factorization.

200101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 200101300 is about 14145.7166661856. The cubic root of 200101300 is about 584.9022653099.

Adding to 200101300 its reverse (3101002), we get a palindrome (203202302).

The spelling of 200101300 in words is "two hundred million, one hundred one thousand, three hundred".