101054311541 has 2 divisors, whose sum is σ = 101054311542. Its totient is φ = 101054311540.

The previous prime is 101054311529. The next prime is 101054311543. The reversal of 101054311541 is 145113450101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100650100516 + 404211025 = 317254^2 + 20105^2 .

It is an emirp because it is prime and its reverse (145113450101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101054311541 is a prime.

Together with 101054311543, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101054311541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101054311543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50527155770 + 50527155771.

It is an arithmetic number, because the mean of its divisors is an integer number (50527155771).

Almost surely, 2^101054311541 is an apocalyptic number.

It is an amenable number.

101054311541 is a deficient number, since it is larger than the sum of its proper divisors (1).

101054311541 is an equidigital number, since it uses as much as digits as its factorization.

101054311541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 101054311541 its reverse (145113450101), we get a palindrome (246167761642).

The spelling of 101054311541 in words is "one hundred one billion, fifty-four million, three hundred eleven thousand, five hundred forty-one".