10032122100 has 432 divisors, whose sum is σ = 39280513664. Its totient is φ = 1923609600.

The previous prime is 10032122069. The next prime is 10032122101. The reversal of 10032122100 is 122123001.

10032122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032122101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3301782 + ... + 3304818.

Almost surely, 2^10032122100 is an apocalyptic number.

10032122100 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 10032122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19640256832).

10032122100 is an abundant number, since it is smaller than the sum of its proper divisors (29248391564).

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

10032122100 is a wasteful number, since it uses less digits than its factorization.

10032122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10032122100 its reverse (122123001), we get a palindrome (10154245101).

Subtracting from 10032122100 its reverse (122123001), we obtain a palindrome (9909999099).

The spelling of 10032122100 in words is "ten billion, thirty-two million, one hundred twenty-two thousand, one hundred".