1020221200000 has 192 divisors, whose sum is σ = 2565681645240. Its totient is φ = 404032000000.

The previous prime is 1020221199997. The next prime is 1020221200057. The reversal of 1020221200000 is 21220201.

It can be written as a sum of positive squares in 12 ways, for example, as 28826606656 + 991394593344 = 169784^2 + 995688^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1020221200000.

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, 40387374 + ... + 40412626.

Almost surely, 2^{1020221200000} is an apocalyptic number.

1020221200000 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 1020221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282840822620).

1020221200000 is an abundant number, since it is smaller than the sum of its proper divisors (1545460445240).

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

1020221200000 is an frugal number, since it uses more digits than its factorization.

1020221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25393 (or 25361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020221200000 its reverse (21220201), we get a palindrome (1020242420201).

It can be divided in two parts, 1020221 and 200000, that added together give a palindrome (1220221).

The spelling of 1020221200000 in words is "one trillion, twenty billion, two hundred twenty-one million, two hundred thousand".