100133041223248 has 160 divisors (see below), whose sum is σ = 217611303235200. Its totient is φ = 44240236953600.

The previous prime is 100133041223231. The next prime is 100133041223261. The reversal of 100133041223248 is 842322140331001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11964751608 + ... + 11964759976.

It is an arithmetic number, because the mean of its divisors is an integer number (1360070645220).

Almost surely, 2^{100133041223248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100133041223248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108805651617600).

100133041223248 is an abundant number, since it is smaller than the sum of its proper divisors (117478262011952).

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

100133041223248 is a wasteful number, since it uses less digits than its factorization.

100133041223248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14381 (or 14375 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 100133041223248 its reverse (842322140331001), we get a palindrome (942455181554249).

The spelling of 100133041223248 in words is "one hundred trillion, one hundred thirty-three billion, forty-one million, two hundred twenty-three thousand, two hundred forty-eight".