100233110112 has 96 divisors (see below), whose sum is σ = 284445504000. Its totient is φ = 30797065728.

The previous prime is 100233110069. The next prime is 100233110143. The reversal of 100233110112 is 211011332001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100233110091 and 100233110100.

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 15 ways as a sum of consecutive naturals, for example, 675112 + ... + 810087.

It is an arithmetic number, because the mean of its divisors is an integer number (2962974000).

Almost surely, 2^100233110112 is an apocalyptic number.

100233110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100233110112 is an abundant number, since it is smaller than the sum of its proper divisors (184212393888).

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

100233110112 is a wasteful number, since it uses less digits than its factorization.

100233110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485268 (or 1485260 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100233110112 its reverse (211011332001), we get a palindrome (311244442113).

The spelling of 100233110112 in words is "one hundred billion, two hundred thirty-three million, one hundred ten thousand, one hundred twelve".