11121222100 has 72 divisors (see below), whose sum is σ = 24946403328. Its totient is φ = 4298966400.

The previous prime is 11121222097. The next prime is 11121222103. The reversal of 11121222100 is 122212111.

It is an interprime number because it is at equal distance from previous prime (11121222097) and next prime (11121222103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121222103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2673222 + ... + 2677378.

It is an arithmetic number, because the mean of its divisors is an integer number (346477824).

Almost surely, 2^11121222100 is an apocalyptic number.

11121222100 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 11121222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473201664).

11121222100 is an abundant number, since it is smaller than the sum of its proper divisors (13825181228).

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

11121222100 is a wasteful number, since it uses less digits than its factorization.

11121222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11121222100 its reverse (122212111), we get a palindrome (11243434211).

The spelling of 11121222100 in words is "eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".