11021021011200 has 324 divisors, whose sum is σ = 38637048077600. Its totient is φ = 2766058782720.

The previous prime is 11021021011199. The next prime is 11021021011201. The reversal of 11021021011200 is 211012012011.

It is an interprime number because it is at equal distance from previous prime (11021021011199) and next prime (11021021011201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021021011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4555701 + ... + 6541899.

Almost surely, 2^{11021021011200} is an apocalyptic number.

11021021011200 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 11021021011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19318524038800).

11021021011200 is an abundant number, since it is smaller than the sum of its proper divisors (27616027066400).

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

11021021011200 is a wasteful number, since it uses less digits than its factorization.

11021021011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986262 (or 1986226 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11021021011200 its reverse (211012012011), we get a palindrome (11232033023211).

The spelling of 11021021011200 in words is "eleven trillion, twenty-one billion, twenty-one million, eleven thousand, two hundred".