121300100 has 36 divisors (see below), whose sum is σ = 278708724. Its totient is φ = 45665280.

The previous prime is 121300079. The next prime is 121300129. The reversal of 121300100 is 1003121.

It can be written as a sum of positive squares in 6 ways, for example, as 15745024 + 105555076 = 3968^2 + 10274^2 .

It is a super-3 number, since 3×121300100³ (a number of 25 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 33977 + ... + 37376.

It is an arithmetic number, because the mean of its divisors is an integer number (7741909).

Almost surely, 2^121300100 is an apocalyptic number.

121300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121300100 is an abundant number, since it is smaller than the sum of its proper divisors (157408624).

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

121300100 is a wasteful number, since it uses less digits than its factorization.

121300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71384 (or 71377 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 121300100 is about 11013.6324616359. The cubic root of 121300100 is about 495.0173105534.

Adding to 121300100 its reverse (1003121), we get a palindrome (122303221).

The spelling of 121300100 in words is "one hundred twenty-one million, three hundred thousand, one hundred".