1020330203200 has 336 divisors, whose sum is σ = 3133941700608. Its totient is φ = 317640960000.

The previous prime is 1020330203177. The next prime is 1020330203239. The reversal of 1020330203200 is 23020330201.

It is a super-3 number, since 3×1020330203200³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112230655 + ... + 112239745.

Almost surely, 2^{1020330203200} is an apocalyptic number.

1020330203200 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 1020330203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566970850304).

1020330203200 is an abundant number, since it is smaller than the sum of its proper divisors (2113611497408).

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

1020330203200 is a wasteful number, since it uses less digits than its factorization.

1020330203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 10027 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 1020330203200 its reverse (23020330201), we get a palindrome (1043350533401).

The spelling of 1020330203200 in words is "one trillion, twenty billion, three hundred thirty million, two hundred three thousand, two hundred".