100022132000 has 288 divisors, whose sum is σ = 288879632496. Its totient is φ = 33933312000.

The previous prime is 100022131969. The next prime is 100022132053. The reversal of 100022132000 is 231220001.

It is a happy number.

100022132000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7744704016 + 92277427984 = 88004^2 + 303772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19009370 + ... + 19014630.

Almost surely, 2^100022132000 is an apocalyptic number.

100022132000 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 100022132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144439816248).

100022132000 is an abundant number, since it is smaller than the sum of its proper divisors (188857500496).

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

100022132000 is an equidigital number, since it uses as much as digits as its factorization.

100022132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100022132000 its reverse (231220001), we get a palindrome (100253352001).

The spelling of 100022132000 in words is "one hundred billion, twenty-two million, one hundred thirty-two thousand".