1000200220020 has 144 divisors (see below), whose sum is σ = 3215205236880. Its totient is φ = 250812039168.

The previous prime is 1000200220009. The next prime is 1000200220049. The reversal of 1000200220020 is 200220020001.

It can be written as a sum of positive squares in 8 ways, for example, as 72958331664 + 927241888356 = 270108^2 + 962934^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1000200219984 and 1000200220011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386436 + ... + 3669924.

It is an arithmetic number, because the mean of its divisors is an integer number (22327814145).

Almost surely, 2^{1000200220020} is an apocalyptic number.

1000200220020 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 1000200220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607602618440).

1000200220020 is an abundant number, since it is smaller than the sum of its proper divisors (2215005016860).

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

1000200220020 is a wasteful number, since it uses less digits than its factorization.

1000200220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284674 (or 284669 counting only the distinct ones).

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

Adding to 1000200220020 its reverse (200220020001), we get a palindrome (1200420240021).

The spelling of 1000200220020 in words is "one trillion, two hundred million, two hundred twenty thousand, twenty".