132101200 has 120 divisors (see below), whose sum is σ = 395778240. Its totient is φ = 41164800.

The previous prime is 132101197. The next prime is 132101239. The reversal of 132101200 is 2101231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28656 + ... + 32944.

It is an arithmetic number, because the mean of its divisors is an integer number (3298152).

Almost surely, 2^132101200 is an apocalyptic number.

132101200 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 132101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197889120).

132101200 is an abundant number, since it is smaller than the sum of its proper divisors (263677040).

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

132101200 is a wasteful number, since it uses less digits than its factorization.

132101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 132101200 is about 11493.5286139636. The cubic root of 132101200 is about 509.2944235023.

Adding to 132101200 its reverse (2101231), we get a palindrome (134202431).

The spelling of 132101200 in words is "one hundred thirty-two million, one hundred one thousand, two hundred".