10332233100 has 432 divisors, whose sum is σ = 39986503200. Its totient is φ = 2279370240.

The previous prime is 10332233081. The next prime is 10332233101. The reversal of 10332233100 is 133223301.

10332233100 is a `hidden beast` number, since 1 + 0 + 332 + 2 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×10332233100² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10332233101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3835354 + ... + 3838046.

It is an arithmetic number, because the mean of its divisors is an integer number (92561350).

Almost surely, 2^10332233100 is an apocalyptic number.

10332233100 is a gapful number since it is divisible by the number (10) 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 10332233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19993251600).

10332233100 is an abundant number, since it is smaller than the sum of its proper divisors (29654270100).

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

10332233100 is a wasteful number, since it uses less digits than its factorization.

10332233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10332233100 its reverse (133223301), we get a palindrome (10465456401).

The spelling of 10332233100 in words is "ten billion, three hundred thirty-two million, two hundred thirty-three thousand, one hundred".