100224110000 has 300 divisors, whose sum is σ = 294575043312. Its totient is φ = 32864832000.

The previous prime is 100224109987. The next prime is 100224110009. The reversal of 100224110000 is 11422001.

It is not an unprimeable number, because it can be changed into a prime (100224110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11265554 + ... + 11274446.

Almost surely, 2^100224110000 is an apocalyptic number.

100224110000 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 100224110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147287521656).

100224110000 is an abundant number, since it is smaller than the sum of its proper divisors (194350933312).

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

100224110000 is an equidigital number, since it uses as much as digits as its factorization.

100224110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958 (or 8930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100224110000 its reverse (11422001), we get a palindrome (100235532001).

The spelling of 100224110000 in words is "one hundred billion, two hundred twenty-four million, one hundred ten thousand".