100110440213344 has 192 divisors, whose sum is σ = 222577436692800. Its totient is φ = 43926788505600.

The previous prime is 100110440213339. The next prime is 100110440213359. The reversal of 100110440213344 is 443312044011001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11211826672 + ... + 11211835600.

It is an arithmetic number, because the mean of its divisors is an integer number (1159257482775).

Almost surely, 2^{100110440213344} 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 100110440213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111288718346400).

100110440213344 is an abundant number, since it is smaller than the sum of its proper divisors (122466996479456).

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

100110440213344 is a wasteful number, since it uses less digits than its factorization.

100110440213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17097 (or 17089 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 100110440213344 its reverse (443312044011001), we get a palindrome (543422484224345).

The spelling of 100110440213344 in words is "one hundred trillion, one hundred ten billion, four hundred forty million, two hundred thirteen thousand, three hundred forty-four".