1000202020200 has 144 divisors (see below), whose sum is σ = 3359782733580. Its totient is φ = 266659322880.

The previous prime is 1000202020183. The next prime is 1000202020247. The reversal of 1000202020200 is 20202020001.

1000202020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 109975803876 + 890226216324 = 331626^2 + 943518^2 .

It is a super-2 number, since 2×1000202020200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8069092 + ... + 8192108.

Almost surely, 2^{1000202020200} is an apocalyptic number.

1000202020200 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 1000202020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679891366790).

1000202020200 is an abundant number, since it is smaller than the sum of its proper divisors (2359580713380).

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

1000202020200 is a wasteful number, since it uses less digits than its factorization.

1000202020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127556 (or 127544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 1000202020200 its reverse (20202020001), we get a palindrome (1020404040201).

The spelling of 1000202020200 in words is "one trillion, two hundred two million, twenty thousand, two hundred".