11221022211100 has 288 divisors, whose sum is σ = 26850828312000. Its totient is φ = 4045460889600.

The previous prime is 11221022210987. The next prime is 11221022211101. The reversal of 11221022211100 is 111222012211.

It is a super-2 number, since 2×11221022211100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221022211101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2765840272 + ... + 2765844328.

It is an arithmetic number, because the mean of its divisors is an integer number (93232042750).

Almost surely, 2^{11221022211100} is an apocalyptic number.

11221022211100 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 11221022211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13425414156000).

11221022211100 is an abundant number, since it is smaller than the sum of its proper divisors (15629806100900).

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

11221022211100 is a wasteful number, since it uses less digits than its factorization.

11221022211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11221022211100 its reverse (111222012211), we get a palindrome (11332244223311).

The spelling of 11221022211100 in words is "eleven trillion, two hundred twenty-one billion, twenty-two million, two hundred eleven thousand, one hundred".