114041052100 has 18 divisors (see below), whose sum is σ = 247469083274. Its totient is φ = 45616420800.

The previous prime is 114041052067. The next prime is 114041052119. The reversal of 114041052100 is 1250140411.

It can be written as a sum of positive squares in 3 ways, for example, as 31604306176 + 82436745924 = 177776^2 + 287118^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 570205161 + ... + 570205360.

Almost surely, 2^114041052100 is an apocalyptic number.

114041052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114041052100 is an abundant number, since it is smaller than the sum of its proper divisors (133428031174).

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

114041052100 is a wasteful number, since it uses less digits than its factorization.

114041052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140410535 (or 1140410528 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 114041052100 its reverse (1250140411), we get a palindrome (115291192511).

The spelling of 114041052100 in words is "one hundred fourteen billion, forty-one million, fifty-two thousand, one hundred".