1101221200000 has 192 divisors, whose sum is σ = 2747098549440. Its totient is φ = 439689600000.

The previous prime is 1101221199989. The next prime is 1101221200043. The reversal of 1101221200000 is 21221011.

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 1101221200000.

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 23 ways as a sum of consecutive naturals, for example, 252397819 + ... + 252402181.

It is an arithmetic number, because the mean of its divisors is an integer number (14307804945).

Almost surely, 2^{1101221200000} is an apocalyptic number.

1101221200000 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 1101221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373549274720).

1101221200000 is an abundant number, since it is smaller than the sum of its proper divisors (1645877349440).

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

1101221200000 is an frugal number, since it uses more digits than its factorization.

1101221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1101221200000 its reverse (21221011), we get a palindrome (1101242421011).

The spelling of 1101221200000 in words is "one trillion, one hundred one billion, two hundred twenty-one million, two hundred thousand".