121838100 has 72 divisors (see below), whose sum is σ = 360060288. Its totient is φ = 31795200.

The previous prime is 121838083. The next prime is 121838113. The reversal of 121838100 is 1838121.

It is a super-2 number, since 2×121838100² = 29689045223220000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9780 + ... + 18420.

Almost surely, 2^121838100 is an apocalyptic number.

121838100 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 121838100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180030144).

121838100 is an abundant number, since it is smaller than the sum of its proper divisors (238222188).

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

121838100 is a wasteful number, since it uses less digits than its factorization.

121838100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 121838100 is about 11038.0297154882. The cubic root of 121838100 is about 495.7480781475.

The spelling of 121838100 in words is "one hundred twenty-one million, eight hundred thirty-eight thousand, one hundred".