11002112221100 has 288 divisors, whose sum is σ = 32061571594752. Its totient is φ = 3164832000000.

The previous prime is 11002112221081. The next prime is 11002112221103. The reversal of 11002112221100 is 112221120011.

11002112221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11002112221103) 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, 900993995 + ... + 901006205.

Almost surely, 2^{11002112221100} is an apocalyptic number.

11002112221100 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 11002112221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030785797376).

11002112221100 is an abundant number, since it is smaller than the sum of its proper divisors (21059459373652).

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

11002112221100 is a wasteful number, since it uses less digits than its factorization.

11002112221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21257 (or 21250 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11002112221100 its reverse (112221120011), we get a palindrome (11114333341111).

The spelling of 11002112221100 in words is "eleven trillion, two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred".