32332101121100 has 144 divisors (see below), whose sum is σ = 76901132700000. Its totient is φ = 11701616640000.

The previous prime is 32332101121093. The next prime is 32332101121123. The reversal of 32332101121100 is 112110123323.

It is a happy number.

It is a super-3 number, since 3×32332101121100³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 197972276 + ... + 198135524.

It is an arithmetic number, because the mean of its divisors is an integer number (534035643750).

Almost surely, 2^{32332101121100} 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 32332101121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38450566350000).

32332101121100 is an abundant number, since it is smaller than the sum of its proper divisors (44569031578900).

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

32332101121100 is a wasteful number, since it uses less digits than its factorization.

32332101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164124 (or 164117 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 32332101121100 its reverse (112110123323), we get a palindrome (32444211244423).

The spelling of 32332101121100 in words is "thirty-two trillion, three hundred thirty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred".