11100221212122 has 144 divisors (see below), whose sum is σ = 28736436953952. Its totient is φ = 3085430927040.

The previous prime is 11100221212063. The next prime is 11100221212147. The reversal of 11100221212122 is 22121212200111.

11100221212122 is a `hidden beast` number, since 1 + 110 + 0 + 221 + 212 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11100221212095 and 11100221212104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 470276773 + ... + 470300375.

It is an arithmetic number, because the mean of its divisors is an integer number (199558589958).

Almost surely, 2^{11100221212122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100221212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368218476976).

11100221212122 is an abundant number, since it is smaller than the sum of its proper divisors (17636215741830).

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

11100221212122 is a wasteful number, since it uses less digits than its factorization.

11100221212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38073 (or 38063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11100221212122 its reverse (22121212200111), we get a palindrome (33221433412233).

The spelling of 11100221212122 in words is "eleven trillion, one hundred billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty-two".