100111102333312 has 192 divisors, whose sum is σ = 235383594449040. Its totient is φ = 42283497553920.

The previous prime is 100111102333247. The next prime is 100111102333351. The reversal of 100111102333312 is 213333201111001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129136612 + ... + 129909532.

Almost surely, 2^{100111102333312} 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 100111102333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117691797224520).

100111102333312 is an abundant number, since it is smaller than the sum of its proper divisors (135272492115728).

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

100111102333312 is a wasteful number, since it uses less digits than its factorization.

100111102333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773249 (or 773230 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 100111102333312 its reverse (213333201111001), we get a palindrome (313444303444313).

The spelling of 100111102333312 in words is "one hundred trillion, one hundred eleven billion, one hundred two million, three hundred thirty-three thousand, three hundred twelve".