11022221221000 has 128 divisors (see below), whose sum is σ = 28144488303360. Its totient is φ = 4006974528000.

The previous prime is 11022221220991. The next prime is 11022221221003. The reversal of 11022221221000 is 12212222011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11022221221003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40266597 + ... + 40539403.

It is an arithmetic number, because the mean of its divisors is an integer number (219878814870).

Almost surely, 2^{11022221221000} is an apocalyptic number.

11022221221000 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 11022221221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072244151680).

11022221221000 is an abundant number, since it is smaller than the sum of its proper divisors (17122267082360).

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

11022221221000 is a wasteful number, since it uses less digits than its factorization.

11022221221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276512 (or 276498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11022221221000 its reverse (12212222011), we get a palindrome (11034433443011).

The spelling of 11022221221000 in words is "eleven trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand".