224124114132100 has 216 divisors, whose sum is σ = 624133103190408. Its totient is φ = 69201548236800.

The previous prime is 224124114132067. The next prime is 224124114132103. The reversal of 224124114132100 is 1231411421422.

It can be written as a sum of positive squares in 12 ways, for example, as 102533972320836 + 121590141811264 = 10125906^2 + 11026792^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (224124114132103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40296007 + ... + 45519406.

It is an arithmetic number, because the mean of its divisors is an integer number (2889505107363).

Almost surely, 2^{224124114132100} is an apocalyptic number.

224124114132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224124114132100 is an abundant number, since it is smaller than the sum of its proper divisors (400008989058308).

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

224124114132100 is a wasteful number, since it uses less digits than its factorization.

224124114132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85815495 (or 85815481 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 224124114132100 its reverse (1231411421422), we get a palindrome (225355525553522).

The spelling of 224124114132100 in words is "two hundred twenty-four trillion, one hundred twenty-four billion, one hundred fourteen million, one hundred thirty-two thousand, one hundred".