1005202020200 has 96 divisors (see below), whose sum is σ = 2828081044800. Its totient is φ = 324367703040.

The previous prime is 1005202020197. The next prime is 1005202020257. The reversal of 1005202020200 is 20202025001.

1005202020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005202020200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21093890 + ... + 21141489.

It is an arithmetic number, because the mean of its divisors is an integer number (29459177550).

Almost surely, 2^{1005202020200} is an apocalyptic number.

1005202020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005202020200 is an abundant number, since it is smaller than the sum of its proper divisors (1822879024600).

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

1005202020200 is a wasteful number, since it uses less digits than its factorization.

1005202020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42235419 (or 42235410 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 1005202020200 its reverse (20202025001), we get a palindrome (1025404045201).

The spelling of 1005202020200 in words is "one trillion, five billion, two hundred two million, twenty thousand, two hundred".