2211111221100 has 144 divisors (see below), whose sum is σ = 6430255104000. Its totient is φ = 586611244800.

The previous prime is 2211111221093. The next prime is 2211111221129. The reversal of 2211111221100 is 11221111122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2211111221100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226799026 + ... + 226808774.

Almost surely, 2^{2211111221100} is an apocalyptic number.

2211111221100 is a gapful number since it is divisible by the number (20) 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 2211111221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215127552000).

2211111221100 is an abundant number, since it is smaller than the sum of its proper divisors (4219143882900).

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

2211111221100 is a wasteful number, since it uses less digits than its factorization.

2211111221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13560 (or 13553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2211111221100 its reverse (11221111122), we get a palindrome (2222332332222).

The spelling of 2211111221100 in words is "two trillion, two hundred eleven billion, one hundred eleven million, two hundred twenty-one thousand, one hundred".