100224411150240 has 576 divisors, whose sum is σ = 371002449636000. Its totient is φ = 24637445554176.

The previous prime is 100224411150239. The next prime is 100224411150257. The reversal of 100224411150240 is 42051114422001.

100224411150240 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 4 + 4 + 111 + 502 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 16402402800144 + 83822008350096 = 4049988^2 + 9155436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2394884836 + ... + 2394926684.

Almost surely, 2^{100224411150240} is an apocalyptic number.

100224411150240 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 100224411150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185501224818000).

100224411150240 is an abundant number, since it is smaller than the sum of its proper divisors (270778038485760).

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

100224411150240 is a wasteful number, since it uses less digits than its factorization.

100224411150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42666 (or 42629 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 100224411150240 its reverse (42051114422001), we get a palindrome (142275525572241).

The spelling of 100224411150240 in words is "one hundred trillion, two hundred twenty-four billion, four hundred eleven million, one hundred fifty thousand, two hundred forty".