11000221111000 has 256 divisors, whose sum is σ = 28261385792640. Its totient is φ = 3974400000000.

The previous prime is 11000221110911. The next prime is 11000221111031. The reversal of 11000221111000 is 11112200011.

It is a super-4 number, since 4×11000221111000⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1222106500 + ... + 1222115500.

Almost surely, 2^{11000221111000} is an apocalyptic number.

11000221111000 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 11000221111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14130692896320).

11000221111000 is an abundant number, since it is smaller than the sum of its proper divisors (17261164681640).

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

11000221111000 is a wasteful number, since it uses less digits than its factorization.

11000221111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735 (or 9721 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11000221111000 its reverse (11112200011), we get a palindrome (11011333311011).

The spelling of 11000221111000 in words is "eleven trillion, two hundred twenty-one million, one hundred eleven thousand".