132100112000 has 64 divisors (see below), whose sum is σ = 328433943240. Its totient is φ = 52840038400.

The previous prime is 132100111973. The next prime is 132100112003. The reversal of 132100112000 is 211001231.

It can be written as a sum of positive squares in 4 ways, for example, as 21136507456 + 110963604544 = 145384^2 + 333112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (132100112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4112129 + ... + 4144128.

Almost surely, 2^132100112000 is an apocalyptic number.

132100112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100112000 is an abundant number, since it is smaller than the sum of its proper divisors (196333831240).

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

132100112000 is an frugal number, since it uses more digits than its factorization.

132100112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256286 (or 8256264 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 132100112000 its reverse (211001231), we get a palindrome (132311113231).

The spelling of 132100112000 in words is "one hundred thirty-two billion, one hundred million, one hundred twelve thousand".