100022332032 has 256 divisors, whose sum is σ = 338423270400. Its totient is φ = 28489190400.

The previous prime is 100022331991. The next prime is 100022332043. The reversal of 100022332032 is 230233220001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100022331996 and 100022332014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8001307 + ... + 8013797.

It is an arithmetic number, because the mean of its divisors is an integer number (1321965900).

Almost surely, 2^100022332032 is an apocalyptic number.

100022332032 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 100022332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169211635200).

100022332032 is an abundant number, since it is smaller than the sum of its proper divisors (238400938368).

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

100022332032 is a wasteful number, since it uses less digits than its factorization.

100022332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12852 (or 12834 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100022332032 its reverse (230233220001), we get a palindrome (330255552033).

The spelling of 100022332032 in words is "one hundred billion, twenty-two million, three hundred thirty-two thousand, thirty-two".