100033222300032 has 512 divisors, whose sum is σ = 321242000025600. Its totient is φ = 26963096371200.

The previous prime is 100033222300031. The next prime is 100033222300043. The reversal of 100033222300032 is 230003222330001.

It is a super-3 number, since 3×100033222300032³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100033222299981 and 100033222300008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033222300031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2206414068 + ... + 2206459404.

It is an arithmetic number, because the mean of its divisors is an integer number (627425781300).

Almost surely, 2^{100033222300032} is an apocalyptic number.

100033222300032 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 100033222300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160621000012800).

100033222300032 is an abundant number, since it is smaller than the sum of its proper divisors (221208777725568).

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

100033222300032 is a wasteful number, since it uses less digits than its factorization.

100033222300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45874 (or 45862 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 100033222300032 its reverse (230003222330001), we get a palindrome (330036444630033).

The spelling of 100033222300032 in words is "one hundred trillion, thirty-three billion, two hundred twenty-two million, three hundred thousand, thirty-two".