11021241100000 has 288 divisors, whose sum is σ = 28752501597120. Its totient is φ = 4143928320000.

The previous prime is 11021241099961. The next prime is 11021241100033. The reversal of 11021241100000 is 114212011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1507896346 + ... + 1507903654.

It is an arithmetic number, because the mean of its divisors is an integer number (99835074990).

Almost surely, 2^{11021241100000} is an apocalyptic number.

11021241100000 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 11021241100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376250798560).

11021241100000 is an abundant number, since it is smaller than the sum of its proper divisors (17731260497120).

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

11021241100000 is an frugal number, since it uses more digits than its factorization.

11021241100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 8220 counting only the distinct ones).

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

Adding to 11021241100000 its reverse (114212011), we get a palindrome (11021355312011).

The spelling of 11021241100000 in words is "eleven trillion, twenty-one billion, two hundred forty-one million, one hundred thousand".