10332001100 has 72 divisors (see below), whose sum is σ = 23454748800. Its totient is φ = 3945356800.

The previous prime is 10332001079. The next prime is 10332001139. The reversal of 10332001100 is 110023301.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 238085 + ... + 278115.

It is an arithmetic number, because the mean of its divisors is an integer number (325760400).

Almost surely, 2^10332001100 is an apocalyptic number.

10332001100 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 10332001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11727374400).

10332001100 is an abundant number, since it is smaller than the sum of its proper divisors (13122747700).

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

10332001100 is a wasteful number, since it uses less digits than its factorization.

10332001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40163 (or 40156 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10332001100 its reverse (110023301), we get a palindrome (10442024401).

The spelling of 10332001100 in words is "ten billion, three hundred thirty-two million, one thousand, one hundred".