100111134004332 has 96 divisors (see below), whose sum is σ = 258430519678464. Its totient is φ = 29907919641600.

The previous prime is 100111134004309. The next prime is 100111134004369. The reversal of 100111134004332 is 233400431111001.

It is a happy 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, 192738238 + ... + 193256954.

It is an arithmetic number, because the mean of its divisors is an integer number (2691984579984).

Almost surely, 2^{100111134004332} is an apocalyptic number.

100111134004332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111134004332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129215259839232).

100111134004332 is an abundant number, since it is smaller than the sum of its proper divisors (158319385674132).

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

100111134004332 is a wasteful number, since it uses less digits than its factorization.

100111134004332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539399 (or 539397 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100111134004332 its reverse (233400431111001), we get a palindrome (333511565115333).

The spelling of 100111134004332 in words is "one hundred trillion, one hundred eleven billion, one hundred thirty-four million, four thousand, three hundred thirty-two".