100033123332 has 48 divisors (see below), whose sum is σ = 245718869760. Its totient is φ = 31586388768.

The previous prime is 100033123291. The next prime is 100033123339. The reversal of 100033123332 is 233321330001.

100033123332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100033123299 and 100033123308.

It is not an unprimeable number, because it can be changed into a prime (100033123339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4577143 + ... + 4598945.

It is an arithmetic number, because the mean of its divisors is an integer number (5119143120).

Almost surely, 2^100033123332 is an apocalyptic number.

100033123332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100033123332 is an abundant number, since it is smaller than the sum of its proper divisors (145685746428).

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

100033123332 is a wasteful number, since it uses less digits than its factorization.

100033123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41952 (or 41950 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100033123332 its reverse (233321330001), we get a palindrome (333354453333).

The spelling of 100033123332 in words is "one hundred billion, thirty-three million, one hundred twenty-three thousand, three hundred thirty-two".