32123321201100 has 144 divisors (see below), whose sum is σ = 95557366277408. Its totient is φ = 8325801768960.

The previous prime is 32123321201077. The next prime is 32123321201201. The reversal of 32123321201100 is 110212332123.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8856414 + ... + 11944986.

Almost surely, 2^{32123321201100} is an apocalyptic number.

32123321201100 is a gapful number since it is divisible by the number (30) 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 32123321201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47778683138704).

32123321201100 is an abundant number, since it is smaller than the sum of its proper divisors (63434045076308).

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

32123321201100 is a wasteful number, since it uses less digits than its factorization.

32123321201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089564 (or 3089557 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 32123321201100 its reverse (110212332123), we get a palindrome (32233533533223).

The spelling of 32123321201100 in words is "thirty-two trillion, one hundred twenty-three billion, three hundred twenty-one million, two hundred one thousand, one hundred".