1002020000200 has 192 divisors, whose sum is σ = 2486913483600. Its totient is φ = 374780313600.

The previous prime is 1002020000173. The next prime is 1002020000207. The reversal of 1002020000200 is 20000202001.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 159732911556 + 842287088644 = 399666^2 + 917762^2 .

It is not an unprimeable number, because it can be changed into a prime (1002020000207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32563222 + ... + 32593978.

Almost surely, 2^{1002020000200} is an apocalyptic number.

1002020000200 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 1002020000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243456741800).

1002020000200 is an abundant number, since it is smaller than the sum of its proper divisors (1484893483400).

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

1002020000200 is a wasteful number, since it uses less digits than its factorization.

1002020000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30980 (or 30971 counting only the distinct ones).

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

Adding to 1002020000200 its reverse (20000202001), we get a palindrome (1022020202201).

The spelling of 1002020000200 in words is "one trillion, two billion, twenty million, two hundred", and thus it is an aban number.