132201420000100 has 144 divisors (see below), whose sum is σ = 318279931280640. Its totient is φ = 47255656924800.

The previous prime is 132201420000031. The next prime is 132201420000113. The reversal of 132201420000100 is 1000024102231.

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, 1326700879 + ... + 1326800521.

It is an arithmetic number, because the mean of its divisors is an integer number (2210277300560).

Almost surely, 2^{132201420000100} is an apocalyptic number.

132201420000100 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 132201420000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159139965640320).

132201420000100 is an abundant number, since it is smaller than the sum of its proper divisors (186078511280540).

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

132201420000100 is a wasteful number, since it uses less digits than its factorization.

132201420000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120170 (or 120163 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 132201420000100 its reverse (1000024102231), we get a palindrome (133201444102331).

The spelling of 132201420000100 in words is "one hundred thirty-two trillion, two hundred one billion, four hundred twenty million, one hundred", and thus it is an aban number.