132200101122300 has 432 divisors, whose sum is σ = 429024288813120. Its totient is φ = 34025909760000.

The previous prime is 132200101122293. The next prime is 132200101122307. The reversal of 132200101122300 is 3221101002231.

132200101122300 is a `hidden beast` number, since 1 + 32 + 200 + 10 + 1 + 122 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (132200101122293) and next prime (132200101122307).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132200101122307) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4915767654 + ... + 4915794546.

It is an arithmetic number, because the mean of its divisors is an integer number (993111779660).

Almost surely, 2^{132200101122300} is an apocalyptic number.

132200101122300 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 132200101122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214512144406560).

132200101122300 is an abundant number, since it is smaller than the sum of its proper divisors (296824187690820).

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

132200101122300 is a wasteful number, since it uses less digits than its factorization.

132200101122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28374 (or 28364 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132200101122300 its reverse (3221101002231), we get a palindrome (135421202124531).

The spelling of 132200101122300 in words is "one hundred thirty-two trillion, two hundred billion, one hundred one million, one hundred twenty-two thousand, three hundred".