1320221101020 has 96 divisors (see below), whose sum is σ = 3778209792000. Its totient is φ = 344300081664.

The previous prime is 1320221100967. The next prime is 1320221101027. The reversal of 1320221101020 is 201011220231.

It is a super-2 number, since 2×1320221101020² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320221101027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3453381 + ... + 3816579.

It is an arithmetic number, because the mean of its divisors is an integer number (39356352000).

Almost surely, 2^{1320221101020} is an apocalyptic number.

1320221101020 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 1320221101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889104896000).

1320221101020 is an abundant number, since it is smaller than the sum of its proper divisors (2457988690980).

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

1320221101020 is a wasteful number, since it uses less digits than its factorization.

1320221101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364547 (or 364545 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1320221101020 its reverse (201011220231), we get a palindrome (1521232321251).

It can be divided in two parts, 1320221 and 101020, that added together give a palindrome (1421241).

The spelling of 1320221101020 in words is "one trillion, three hundred twenty billion, two hundred twenty-one million, one hundred one thousand, twenty".