121332100 has 54 divisors (see below), whose sum is σ = 277960074. Its totient is φ = 45964800.

The previous prime is 121332089. The next prime is 121332121. The reversal of 121332100 is 1233121.

It can be written as a sum of positive squares in 3 ways, for example, as 16842816 + 104489284 = 4104^2 + 10222^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34420 + ... + 37780.

Almost surely, 2^121332100 is an apocalyptic number.

121332100 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 121332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138980037).

121332100 is an abundant number, since it is smaller than the sum of its proper divisors (156627974).

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

121332100 is a wasteful number, since it uses less digits than its factorization.

121332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 121332100 is about 11015.0851108832. The cubic root of 121332100 is about 495.0608366543.

Adding to 121332100 its reverse (1233121), we get a palindrome (122565221).

The spelling of 121332100 in words is "one hundred twenty-one million, three hundred thirty-two thousand, one hundred".