132112201102100 has 36 divisors (see below), whose sum is σ = 286697093016348. Its totient is φ = 52842370464000.

The previous prime is 132112201102031. The next prime is 132112201102109. The reversal of 132112201102100 is 1201102211231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2902648208656 + 129209552893444 = 1703716^2 + 11367038^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132112201102109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29258081 + ... + 33470280.

It is an arithmetic number, because the mean of its divisors is an integer number (7963808139343).

Almost surely, 2^{132112201102100} is an apocalyptic number.

132112201102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132112201102100 is an abundant number, since it is smaller than the sum of its proper divisors (154584891914248).

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

132112201102100 is a wasteful number, since it uses less digits than its factorization.

132112201102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62749436 (or 62749429 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 132112201102100 its reverse (1201102211231), we get a palindrome (133313303313331).

The spelling of 132112201102100 in words is "one hundred thirty-two trillion, one hundred twelve billion, two hundred one million, one hundred two thousand, one hundred".