114243121424100 has 144 divisors (see below), whose sum is σ = 333843470775360. Its totient is φ = 30160730688000.

The previous prime is 114243121424087. The next prime is 114243121424123. The reversal of 114243121424100 is 1424121342411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385843714 + ... + 386139686.

It is an arithmetic number, because the mean of its divisors is an integer number (2318357435940).

Almost surely, 2^{114243121424100} is an apocalyptic number.

114243121424100 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 114243121424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166921735387680).

114243121424100 is an abundant number, since it is smaller than the sum of its proper divisors (219600349351260).

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

114243121424100 is a wasteful number, since it uses less digits than its factorization.

114243121424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308830 (or 308823 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 114243121424100 its reverse (1424121342411), we get a palindrome (115667242766511).

The spelling of 114243121424100 in words is "one hundred fourteen trillion, two hundred forty-three billion, one hundred twenty-one million, four hundred twenty-four thousand, one hundred".