114555312010100 has 324 divisors, whose sum is σ = 300802265055684. Its totient is φ = 37714008084480.

The previous prime is 114555312010099. The next prime is 114555312010103. The reversal of 114555312010100 is 1010213555411.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 87275729253904 + 27279582756196 = 9342148^2 + 5222986^2 .

It is a super-2 number, since 2×114555312010100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114555312010103) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 103163042 + ... + 104267558.

It is an arithmetic number, because the mean of its divisors is an integer number (928402052641).

Almost surely, 2^{114555312010100} is an apocalyptic number.

114555312010100 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 114555312010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150401132527842).

114555312010100 is an abundant number, since it is smaller than the sum of its proper divisors (186246953045584).

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

114555312010100 is a wasteful number, since it uses less digits than its factorization.

114555312010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104612 (or 1104573 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 29.

Adding to 114555312010100 its reverse (1010213555411), we get a palindrome (115565525565511).

The spelling of 114555312010100 in words is "one hundred fourteen trillion, five hundred fifty-five billion, three hundred twelve million, ten thousand, one hundred".