1101022021120 has 320 divisors, whose sum is σ = 3069237663360. Its totient is φ = 370994577408.

The previous prime is 1101022021093. The next prime is 1101022021133. The reversal of 1101022021120 is 211202201011.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 1101022021120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409452736 + ... + 409455424.

It is an arithmetic number, because the mean of its divisors is an integer number (9591367698).

Almost surely, 2^{1101022021120} is an apocalyptic number.

1101022021120 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 1101022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534618831680).

1101022021120 is an abundant number, since it is smaller than the sum of its proper divisors (1968215642240).

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

1101022021120 is an equidigital number, since it uses as much as digits as its factorization.

1101022021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1101022021120 its reverse (211202201011), we get a palindrome (1312224222131).

The spelling of 1101022021120 in words is "one trillion, one hundred one billion, twenty-two million, twenty-one thousand, one hundred twenty".