132100102200000 has 672 divisors, whose sum is σ = 487664979943680. Its totient is φ = 31279449600000.

The previous prime is 132100102199977. The next prime is 132100102200047. The reversal of 132100102200000 is 2201001231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283567266 + ... + 284032734.

It is an arithmetic number, because the mean of its divisors is an integer number (725691934440).

Almost surely, 2^{132100102200000} is an apocalyptic number.

132100102200000 is a gapful number since it is divisible by the number (10) 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 132100102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243832489971840).

132100102200000 is an abundant number, since it is smaller than the sum of its proper divisors (355564877743680).

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

132100102200000 is an equidigital number, since it uses as much as digits as its factorization.

132100102200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465563 (or 465533 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 132100102200000 its reverse (2201001231), we get a palindrome (132102303201231).

The spelling of 132100102200000 in words is "one hundred thirty-two trillion, one hundred billion, one hundred two million, two hundred thousand".