11211102198 has 96 divisors (see below), whose sum is σ = 26249932800. Its totient is φ = 3447956160.

The previous prime is 11211102191. The next prime is 11211102211. The reversal of 11211102198 is 89120111211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211102191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4477815 + ... + 4480317.

It is an arithmetic number, because the mean of its divisors is an integer number (273436800).

Almost surely, 2^11211102198 is an apocalyptic number.

11211102198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211102198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124966400).

11211102198 is an abundant number, since it is smaller than the sum of its proper divisors (15038830602).

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

11211102198 is a wasteful number, since it uses less digits than its factorization.

11211102198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 11211102198 in words is "eleven billion, two hundred eleven million, one hundred two thousand, one hundred ninety-eight".