10101001441 has 2 divisors, whose sum is σ = 10101001442. Its totient is φ = 10101001440.

The previous prime is 10101001439. The next prime is 10101001447. The reversal of 10101001441 is 14410010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9343155600 + 757845841 = 96660^2 + 27529^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101001441 - 2¹ = 10101001439 is a prime.

It is a super-2 number, since 2×10101001441² (a number of 21 digits) contains 22 as substring.

Together with 10101001439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10101001447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500720 + 5050500721.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500721).

Almost surely, 2^10101001441 is an apocalyptic number.

It is an amenable number.

10101001441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001441 is an equidigital number, since it uses as much as digits as its factorization.

10101001441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10101001441 its reverse (14410010101), we get a palindrome (24511011542).

The spelling of 10101001441 in words is "ten billion, one hundred one million, one thousand, four hundred forty-one".