100414141 has 2 divisors, whose sum is σ = 100414142. Its totient is φ = 100414140.

The previous prime is 100414133. The next prime is 100414163. The reversal of 100414141 is 141414001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75951225 + 24462916 = 8715^2 + 4946^2 .

It is an emirp because it is prime and its reverse (141414001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100414141 - 2³ = 100414133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100414241) by changing a digit.

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 as a sum of consecutive naturals, namely, 50207070 + 50207071.

It is an arithmetic number, because the mean of its divisors is an integer number (50207071).

Almost surely, 2^100414141 is an apocalyptic number.

It is an amenable number.

100414141 is a deficient number, since it is larger than the sum of its proper divisors (1).

100414141 is an equidigital number, since it uses as much as digits as its factorization.

100414141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 100414141 is about 10020.6856551835. The cubic root of 100414141 is about 464.7987582582.

Adding to 100414141 its reverse (141414001), we get a palindrome (241828142).

The spelling of 100414141 in words is "one hundred million, four hundred fourteen thousand, one hundred forty-one".