11221202100 has 144 divisors (see below), whose sum is σ = 33015136896. Its totient is φ = 2942016000.

The previous prime is 11221202093. The next prime is 11221202173. The reversal of 11221202100 is 120212211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14078902 + ... + 14079698.

It is an arithmetic number, because the mean of its divisors is an integer number (229271784).

Almost surely, 2^11221202100 is an apocalyptic number.

11221202100 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 11221202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507568448).

11221202100 is an abundant number, since it is smaller than the sum of its proper divisors (21793934796).

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

11221202100 is a wasteful number, since it uses less digits than its factorization.

11221202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221202100 its reverse (120212211), we get a palindrome (11341414311).

The spelling of 11221202100 in words is "eleven billion, two hundred twenty-one million, two hundred two thousand, one hundred".