121834100 has 36 divisors (see below), whose sum is σ = 266339724. Its totient is φ = 48372480.

The previous prime is 121834079. The next prime is 121834103. The reversal of 121834100 is 1438121.

It can be written as a sum of positive squares in 6 ways, for example, as 10784656 + 111049444 = 3284^2 + 10538^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121834103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9254 + ... + 18146.

Almost surely, 2^121834100 is an apocalyptic number.

121834100 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 121834100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133169862).

121834100 is an abundant number, since it is smaller than the sum of its proper divisors (144505624).

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

121834100 is a wasteful number, since it uses less digits than its factorization.

121834100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9044 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 121834100 is about 11037.8485222438. The cubic root of 121834100 is about 495.7426528769.

The spelling of 121834100 in words is "one hundred twenty-one million, eight hundred thirty-four thousand, one hundred".