1000100441 has 2 divisors, whose sum is σ = 1000100442. Its totient is φ = 1000100440.

The previous prime is 1000100401. The next prime is 1000100459. The reversal of 1000100441 is 1440010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 953574400 + 46526041 = 30880^2 + 6821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000100441 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000100401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050220 + 500050221.

It is an arithmetic number, because the mean of its divisors is an integer number (500050221).

Almost surely, 2^1000100441 is an apocalyptic number.

It is an amenable number.

1000100441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100441 is an equidigital number, since it uses as much as digits as its factorization.

1000100441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1000100441 is about 31624.3646734602. The cubic root of 1000100441 is about 1000.0334792125.

Adding to 1000100441 its reverse (1440010001), we get a palindrome (2440110442).

The spelling of 1000100441 in words is "one billion, one hundred thousand, four hundred forty-one".