100022202132 has 144 divisors (see below), whose sum is σ = 253922296320. Its totient is φ = 30621519936.

The previous prime is 100022202127. The next prime is 100022202139. The reversal of 100022202132 is 231202220001.

It is a happy number.

100022202132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022202139) 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 47 ways as a sum of consecutive naturals, for example, 25890433 + ... + 25894295.

It is an arithmetic number, because the mean of its divisors is an integer number (1763349280).

Almost surely, 2^100022202132 is an apocalyptic number.

100022202132 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 100022202132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126961148160).

100022202132 is an abundant number, since it is smaller than the sum of its proper divisors (153900094188).

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

100022202132 is a wasteful number, since it uses less digits than its factorization.

100022202132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100022202132 its reverse (231202220001), we get a palindrome (331224422133).

The spelling of 100022202132 in words is "one hundred billion, twenty-two million, two hundred two thousand, one hundred thirty-two".