114101395200 has 540 divisors, whose sum is σ = 454364361528. Its totient is φ = 28084838400.

The previous prime is 114101395193. The next prime is 114101395207. The reversal of 114101395200 is 2593101411.

It is a happy number.

114101395200 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 0 + 139 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114101395193) and next prime (114101395207).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114101395207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6730735 + ... + 6747665.

Almost surely, 2^114101395200 is an apocalyptic number.

114101395200 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 114101395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227182180764).

114101395200 is an abundant number, since it is smaller than the sum of its proper divisors (340262966328).

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

114101395200 is a wasteful number, since it uses less digits than its factorization.

114101395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16982 (or 16954 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 114101395200 its reverse (2593101411), we get a palindrome (116694496611).

The spelling of 114101395200 in words is "one hundred fourteen billion, one hundred one million, three hundred ninety-five thousand, two hundred".