100414241 has 2 divisors, whose sum is σ = 100414242. Its totient is φ = 100414240.

The previous prime is 100414219. The next prime is 100414243. The reversal of 100414241 is 142414001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65545216 + 34869025 = 8096^2 + 5905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100414241 is a prime.

Together with 100414243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100414243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50207120 + 50207121.

It is an arithmetic number, because the mean of its divisors is an integer number (50207121).

Almost surely, 2^100414241 is an apocalyptic number.

It is an amenable number.

100414241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100414241 is an equidigital number, since it uses as much as digits as its factorization.

100414241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 100414241 is about 10020.6906448608. The cubic root of 100414241 is about 464.7989125520.

Adding to 100414241 its reverse (142414001), we get a palindrome (242828242).

The spelling of 100414241 in words is "one hundred million, four hundred fourteen thousand, two hundred forty-one".