114130242301020 has 192 divisors, whose sum is σ = 352390582881792. Its totient is φ = 27368871040000.

The previous prime is 114130242300989. The next prime is 114130242301147. The reversal of 114130242301020 is 20103242031411.

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 63 ways as a sum of consecutive naturals, for example, 71941402 + ... + 73510718.

It is an arithmetic number, because the mean of its divisors is an integer number (1835367619176).

Almost surely, 2^{114130242301020} is an apocalyptic number.

114130242301020 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 114130242301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176195291440896).

114130242301020 is an abundant number, since it is smaller than the sum of its proper divisors (238260340580772).

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

114130242301020 is a wasteful number, since it uses less digits than its factorization.

114130242301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570532 (or 1570530 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114130242301020 its reverse (20103242031411), we get a palindrome (134233484332431).

The spelling of 114130242301020 in words is "one hundred fourteen trillion, one hundred thirty billion, two hundred forty-two million, three hundred one thousand, twenty".