122800100 has 18 divisors (see below), whose sum is σ = 266476434. Its totient is φ = 49120000.

The previous prime is 122800039. The next prime is 122800121. The reversal of 122800100 is 1008221.

It can be written as a sum of positive squares in 3 ways, for example, as 18800896 + 103999204 = 4336^2 + 10198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 613901 + ... + 614100.

Almost surely, 2^122800100 is an apocalyptic number.

122800100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122800100 is an abundant number, since it is smaller than the sum of its proper divisors (143676334).

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

122800100 is a wasteful number, since it uses less digits than its factorization.

122800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228015 (or 1228008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 122800100 is about 11081.5206537731. The cubic root of 122800100 is about 497.0494224340.

Adding to 122800100 its reverse (1008221), we get a palindrome (123808321).

The spelling of 122800100 in words is "one hundred twenty-two million, eight hundred thousand, one hundred".