132101000100 has 648 divisors, whose sum is σ = 453775565880. Its totient is φ = 32103751680.

The previous prime is 132101000099. The next prime is 132101000107. The reversal of 132101000100 is 1000101231.

It can be written as a sum of positive squares in 36 ways, for example, as 106980018084 + 25120982016 = 327078^2 + 158496^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132101000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1484280856 + ... + 1484280944.

It is an arithmetic number, because the mean of its divisors is an integer number (700270935).

Almost surely, 2^132101000100 is an apocalyptic number.

132101000100 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 132101000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226887782940).

132101000100 is an abundant number, since it is smaller than the sum of its proper divisors (321674565780).

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

132101000100 is a wasteful number, since it uses less digits than its factorization.

132101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 132101000100 its reverse (1000101231), we get a palindrome (133101101331).

The spelling of 132101000100 in words is "one hundred thirty-two billion, one hundred one million, one hundred", and thus it is an aban number.