224112202001100 has 216 divisors, whose sum is σ = 804648466702080. Its totient is φ = 51108958419840.

The previous prime is 224112202001089. The next prime is 224112202001123. The reversal of 224112202001100 is 1100202211422.

224112202001100 is a `hidden beast` number, since 2 + 2 + 411 + 220 + 20 + 0 + 1 + 10 + 0 = 666.

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

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, 37750662 + ... + 43282061.

It is an arithmetic number, because the mean of its divisors is an integer number (3725224382880).

Almost surely, 2^{224112202001100} is an apocalyptic number.

224112202001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224112202001100 is an abundant number, since it is smaller than the sum of its proper divisors (580536264700980).

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

224112202001100 is a wasteful number, since it uses less digits than its factorization.

224112202001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81033189 (or 81033179 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 224112202001100 its reverse (1100202211422), we get a palindrome (225212404212522).

The spelling of 224112202001100 in words is "two hundred twenty-four trillion, one hundred twelve billion, two hundred two million, one thousand, one hundred".