132110213222100 has 288 divisors, whose sum is σ = 393840161366400. Its totient is φ = 34166385653760.

The previous prime is 132110213222087. The next prime is 132110213222101. The reversal of 132110213222100 is 1222312011231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132110213222101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 15197305354 + ... + 15197314046.

It is an arithmetic number, because the mean of its divisors is an integer number (1367500560300).

Almost surely, 2^{132110213222100} is an apocalyptic number.

132110213222100 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 132110213222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196920080683200).

132110213222100 is an abundant number, since it is smaller than the sum of its proper divisors (261729948144300).

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

132110213222100 is a wasteful number, since it uses less digits than its factorization.

132110213222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13019 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 132110213222100 its reverse (1222312011231), we get a palindrome (133332525233331).

The spelling of 132110213222100 in words is "one hundred thirty-two trillion, one hundred ten billion, two hundred thirteen million, two hundred twenty-two thousand, one hundred".