100132213101200 has 120 divisors (see below), whose sum is σ = 275158163244480. Its totient is φ = 34303109184000.

The previous prime is 100132213101197. The next prime is 100132213101229. The reversal of 100132213101200 is 2101312231001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11107826 + ... + 17990225.

It is an arithmetic number, because the mean of its divisors is an integer number (2292984693704).

Almost surely, 2^{100132213101200} is an apocalyptic number.

100132213101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132213101200 is an abundant number, since it is smaller than the sum of its proper divisors (175025950143280).

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

100132213101200 is a wasteful number, since it uses less digits than its factorization.

100132213101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29099305 (or 29099294 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100132213101200 its reverse (2101312231001), we get a palindrome (102233525332201).

The spelling of 100132213101200 in words is "one hundred trillion, one hundred thirty-two billion, two hundred thirteen million, one hundred one thousand, two hundred".