121132100 has 36 divisors (see below), whose sum is σ = 263865924. Its totient is φ = 48266880.

The previous prime is 121132079. The next prime is 121132127. The reversal of 121132100 is 1231121.

It can be written as a sum of positive squares in 6 ways, for example, as 9449476 + 111682624 = 3074^2 + 10568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25514 + ... + 29886.

It is an arithmetic number, because the mean of its divisors is an integer number (7329609).

Almost surely, 2^121132100 is an apocalyptic number.

121132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121132100 is an abundant number, since it is smaller than the sum of its proper divisors (142733824).

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

121132100 is a wasteful number, since it uses less digits than its factorization.

121132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 121132100 is about 11006.0029075046. The cubic root of 121132100 is about 494.7886728437.

Adding to 121132100 its reverse (1231121), we get a palindrome (122363221).

The spelling of 121132100 in words is "one hundred twenty-one million, one hundred thirty-two thousand, one hundred".