114242014403100 has 324 divisors, whose sum is σ = 380820667198608. Its totient is φ = 28639902720000.

The previous prime is 114242014403053. The next prime is 114242014403113. The reversal of 114242014403100 is 1304410242411.

114242014403100 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 201 + 440 + 3 + 10 + 0 = 666.

It is a super-2 number, since 2×114242014403100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 228898825 + ... + 229397375.

Almost surely, 2^{114242014403100} is an apocalyptic number.

114242014403100 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 114242014403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190410333599304).

114242014403100 is an abundant number, since it is smaller than the sum of its proper divisors (266578652795508).

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

114242014403100 is a wasteful number, since it uses less digits than its factorization.

114242014403100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499486 (or 499459 counting only the distinct ones).

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

Adding to 114242014403100 its reverse (1304410242411), we get a palindrome (115546424645511).

The spelling of 114242014403100 in words is "one hundred fourteen trillion, two hundred forty-two billion, fourteen million, four hundred three thousand, one hundred".