11212220112100 has 108 divisors (see below), whose sum is σ = 27952714508992. Its totient is φ = 3824054395200.

The previous prime is 11212220112097. The next prime is 11212220112101. The reversal of 11212220112100 is 121102221211.

It is not an unprimeable number, because it can be changed into a prime (11212220112101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25317169 + ... + 25756231.

Almost surely, 2^{11212220112100} is an apocalyptic number.

11212220112100 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 11212220112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976357254496).

11212220112100 is an abundant number, since it is smaller than the sum of its proper divisors (16740494396892).

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

11212220112100 is a wasteful number, since it uses less digits than its factorization.

11212220112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439466 (or 439268 counting only the distinct ones).

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

Adding to 11212220112100 its reverse (121102221211), we get a palindrome (11333322333311).

Subtracting from 11212220112100 its reverse (121102221211), we obtain a square (11091117890889 = 3330333²).

The spelling of 11212220112100 in words is "eleven trillion, two hundred twelve billion, two hundred twenty million, one hundred twelve thousand, one hundred".