100211641 has 2 divisors, whose sum is σ = 100211642. Its totient is φ = 100211640.

The previous prime is 100211591. The next prime is 100211659. The reversal of 100211641 is 146112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 41229241 = 7680^2 + 6421^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211641 - 2⁷ = 100211513 is a prime.

It is not a weakly prime, because it can be changed into another prime (100211941) 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, 50105820 + 50105821.

It is an arithmetic number, because the mean of its divisors is an integer number (50105821).

Almost surely, 2^100211641 is an apocalyptic number.

It is an amenable number.

100211641 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211641 is an equidigital number, since it uses as much as digits as its factorization.

100211641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 100211641 is about 10010.5764569279. The cubic root of 100211641 is about 464.4861027937.

Adding to 100211641 its reverse (146112001), we get a palindrome (246323642).

It can be divided in two parts, 10021 and 1641, that multiplied together give a palindrome (16444461).

The spelling of 100211641 in words is "one hundred million, two hundred eleven thousand, six hundred forty-one".