100224411133110 has 256 divisors, whose sum is σ = 270144576258048. Its totient is φ = 23590855411200.

The previous prime is 100224411133103. The next prime is 100224411133111. The reversal of 100224411133110 is 11331114422001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100224411133111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9015413272 + ... + 9015424388.

It is an arithmetic number, because the mean of its divisors is an integer number (1055252251008).

Almost surely, 2^{100224411133110} is an apocalyptic number.

100224411133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100224411133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135072288129024).

100224411133110 is an abundant number, since it is smaller than the sum of its proper divisors (169920165124938).

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

100224411133110 is a wasteful number, since it uses less digits than its factorization.

100224411133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17019.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 100224411133110 its reverse (11331114422001), we get a palindrome (111555525555111).

The spelling of 100224411133110 in words is "one hundred trillion, two hundred twenty-four billion, four hundred eleven million, one hundred thirty-three thousand, one hundred ten".