1000201200200 has 96 divisors (see below), whose sum is σ = 2396736777600. Its totient is φ = 387975363840.

The previous prime is 1000201200197. The next prime is 1000201200203. The reversal of 1000201200200 is 20021020001.

It is an interprime number because it is at equal distance from previous prime (1000201200197) and next prime (1000201200203).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1000201200203) 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, 536507 + ... + 1512693.

It is an arithmetic number, because the mean of its divisors is an integer number (24966008100).

Almost surely, 2^{1000201200200} is an apocalyptic number.

1000201200200 is a gapful number since it is divisible by the number (10) 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 1000201200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198368388800).

1000201200200 is an abundant number, since it is smaller than the sum of its proper divisors (1396535577400).

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

1000201200200 is a wasteful number, since it uses less digits than its factorization.

1000201200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976359 (or 976350 counting only the distinct ones).

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

Adding to 1000201200200 its reverse (20021020001), we get a palindrome (1020222220201).

The spelling of 1000201200200 in words is "one trillion, two hundred one million, two hundred thousand, two hundred".