114130024200100 has 144 divisors (see below), whose sum is σ = 264881982874320. Its totient is φ = 42534188236800.

The previous prime is 114130024200079. The next prime is 114130024200121. The reversal of 114130024200100 is 1002420031411.

It is an interprime number because it is at equal distance from previous prime (114130024200079) and next prime (114130024200121).

It can be written as a sum of positive squares in 24 ways, for example, as 101641037831524 + 12488986368576 = 10081718^2 + 3533976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71001280 + ... + 72590920.

It is an arithmetic number, because the mean of its divisors is an integer number (1839458214405).

Almost surely, 2^{114130024200100} is an apocalyptic number.

114130024200100 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 114130024200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132440991437160).

114130024200100 is an abundant number, since it is smaller than the sum of its proper divisors (150751958674220).

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

114130024200100 is a wasteful number, since it uses less digits than its factorization.

114130024200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590098 (or 1590091 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 114130024200100 its reverse (1002420031411), we get a palindrome (115132444231511).

The spelling of 114130024200100 in words is "one hundred fourteen trillion, one hundred thirty billion, twenty-four million, two hundred thousand, one hundred".