100224941220 has 384 divisors, whose sum is σ = 338135777280. Its totient is φ = 24572782080.

The previous prime is 100224941207. The next prime is 100224941227. The reversal of 100224941220 is 22149422001.

100224941220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 249 + 412 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100224941227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62757462 + ... + 62759058.

It is an arithmetic number, because the mean of its divisors is an integer number (880561920).

Almost surely, 2^100224941220 is an apocalyptic number.

100224941220 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 100224941220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169067888640).

100224941220 is an abundant number, since it is smaller than the sum of its proper divisors (237910836060).

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

100224941220 is a wasteful number, since it uses less digits than its factorization.

100224941220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 100224941220 in words is "one hundred billion, two hundred twenty-four million, nine hundred forty-one thousand, two hundred twenty".