101031563441 has 2 divisors, whose sum is σ = 101031563442. Its totient is φ = 101031563440.

The previous prime is 101031563417. The next prime is 101031563443. The reversal of 101031563441 is 144365130101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53712697600 + 47318865841 = 231760^2 + 217529^2 .

It is a cyclic number.

It is not a de Polignac number, because 101031563441 - 2³⁰ = 99957821617 is a prime.

It is a super-2 number, since 2×101031563441² (a number of 23 digits) contains 22 as substring.

Together with 101031563443, 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 (101031563443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50515781720 + 50515781721.

It is an arithmetic number, because the mean of its divisors is an integer number (50515781721).

Almost surely, 2^101031563441 is an apocalyptic number.

It is an amenable number.

101031563441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031563441 is an equidigital number, since it uses as much as digits as its factorization.

101031563441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 101031563441 its reverse (144365130101), we get a palindrome (245396693542).

The spelling of 101031563441 in words is "one hundred one billion, thirty-one million, five hundred sixty-three thousand, four hundred forty-one".