1010303221200 has 480 divisors, whose sum is σ = 3985807558656. Its totient is φ = 213022586880.

The previous prime is 1010303221183. The next prime is 1010303221211. The reversal of 1010303221200 is 21223030101.

It is a super-2 number, since 2×1010303221200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010303221200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317006007 + ... + 317009193.

Almost surely, 2^{1010303221200} is an apocalyptic number.

1010303221200 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 1010303221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992903779328).

1010303221200 is an abundant number, since it is smaller than the sum of its proper divisors (2975504337456).

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

1010303221200 is a wasteful number, since it uses less digits than its factorization.

1010303221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1010303221200 its reverse (21223030101), we get a palindrome (1031526251301).

The spelling of 1010303221200 in words is "one trillion, ten billion, three hundred three million, two hundred twenty-one thousand, two hundred".