121128373830100 has 288 divisors, whose sum is σ = 334829852017920. Its totient is φ = 36994592194560.

The previous prime is 121128373830097. The next prime is 121128373830151. The reversal of 121128373830100 is 1038373821121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 528477124 + ... + 528706276.

It is an arithmetic number, because the mean of its divisors is an integer number (1162603652840).

Almost surely, 2^{121128373830100} is an apocalyptic number.

121128373830100 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 121128373830100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167414926008960).

121128373830100 is an abundant number, since it is smaller than the sum of its proper divisors (213701478187820).

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

121128373830100 is a wasteful number, since it uses less digits than its factorization.

121128373830100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231219 (or 231212 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 121128373830100 in words is "one hundred twenty-one trillion, one hundred twenty-eight billion, three hundred seventy-three million, eight hundred thirty thousand, one hundred".