114916041612100 has 81 divisors (see below), whose sum is σ = 250074414077061. Its totient is φ = 45836534457600.

The previous prime is 114916041612089. The next prime is 114916041612157. The reversal of 114916041612100 is 1216140619411.

The square root of 114916041612100 is 10719890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 875171476036 + 114040870136064 = 935506^2 + 10678992^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114916041612100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43844348790 + ... + 43844351410.

Almost surely, 2^{114916041612100} is an apocalyptic number.

114916041612100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114916041612100 is the 10719890-th square number.

It is an amenable number.

114916041612100 is an abundant number, since it is smaller than the sum of its proper divisors (135158372464961).

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

114916041612100 is an frugal number, since it uses more digits than its factorization.

114916041612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 114916041612100 in words is "one hundred fourteen trillion, nine hundred sixteen billion, forty-one million, six hundred twelve thousand, one hundred".