100132212132320 has 192 divisors, whose sum is σ = 243541283440896. Its totient is φ = 38885422202880.

The previous prime is 100132212132319. The next prime is 100132212132439. The reversal of 100132212132320 is 23231212231001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402120934 + ... + 1402192346.

It is an arithmetic number, because the mean of its divisors is an integer number (1268444184588).

Almost surely, 2^{100132212132320} is an apocalyptic number.

100132212132320 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 100132212132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121770641720448).

100132212132320 is an abundant number, since it is smaller than the sum of its proper divisors (143409071308576).

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

100132212132320 is a wasteful number, since it uses less digits than its factorization.

100132212132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72973 (or 72965 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 100132212132320 its reverse (23231212231001), we get a palindrome (123363424363321).

The spelling of 100132212132320 in words is "one hundred trillion, one hundred thirty-two billion, two hundred twelve million, one hundred thirty-two thousand, three hundred twenty".