10114404342120 has 192 divisors, whose sum is σ = 35415309646080. Its totient is φ = 2488652011008.

The previous prime is 10114404342043. The next prime is 10114404342143. The reversal of 10114404342120 is 2124340441101.

10114404342120 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 440 + 4 + 3 + 4 + 212 + 0 = 666.

10114404342120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 10698979 + ... + 11605901.

It is an arithmetic number, because the mean of its divisors is an integer number (184454737740).

Almost surely, 2^{10114404342120} is an apocalyptic number.

10114404342120 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 10114404342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707654823040).

10114404342120 is an abundant number, since it is smaller than the sum of its proper divisors (25300905303960).

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

10114404342120 is a wasteful number, since it uses less digits than its factorization.

10114404342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909336 (or 909329 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10114404342120 its reverse (2124340441101), we get a palindrome (12238744783221).

The spelling of 10114404342120 in words is "ten trillion, one hundred fourteen billion, four hundred four million, three hundred forty-two thousand, one hundred twenty".