221132100132 has 144 divisors (see below), whose sum is σ = 600283756800. Its totient is φ = 68389401600.

The previous prime is 221132100121. The next prime is 221132100199. The reversal of 221132100132 is 231001231122.

221132100132 is a `hidden beast` number, since 2 + 211 + 321 + 0 + 0 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 34275507 + ... + 34281957.

It is an arithmetic number, because the mean of its divisors is an integer number (4168637200).

Almost surely, 2^221132100132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221132100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300141878400).

221132100132 is an abundant number, since it is smaller than the sum of its proper divisors (379151656668).

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

221132100132 is a wasteful number, since it uses less digits than its factorization.

221132100132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221132100132 its reverse (231001231122), we get a palindrome (452133331254).

The spelling of 221132100132 in words is "two hundred twenty-one billion, one hundred thirty-two million, one hundred thousand, one hundred thirty-two".