101401441 has 2 divisors, whose sum is σ = 101401442. Its totient is φ = 101401440.

The previous prime is 101401427. The next prime is 101401451. The reversal of 101401441 is 144104101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64240225 + 37161216 = 8015^2 + 6096^2 .

It is an emirp because it is prime and its reverse (144104101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101401441 - 2⁵ = 101401409 is a prime.

It is not a weakly prime, because it can be changed into another prime (101401451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50700720 + 50700721.

It is an arithmetic number, because the mean of its divisors is an integer number (50700721).

Almost surely, 2^101401441 is an apocalyptic number.

It is an amenable number.

101401441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101401441 is an equidigital number, since it uses as much as digits as its factorization.

101401441 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 101401441 is about 10069.8282507697. The cubic root of 101401441 is about 466.3171366258.

Adding to 101401441 its reverse (144104101), we get a palindrome (245505542).

The spelling of 101401441 in words is "one hundred one million, four hundred one thousand, four hundred forty-one".