101031115541017 has 2 divisors, whose sum is σ = 101031115541018. Its totient is φ = 101031115541016.

The previous prime is 101031115540981. The next prime is 101031115541039. The reversal of 101031115541017 is 710145511130101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100569287923776 + 461827617241 = 10028424^2 + 679579^2 .

It is an emirp because it is prime and its reverse (710145511130101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101031115541017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101031115541017.

It is not a weakly prime, because it can be changed into another prime (101031115541077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50515557770508 + 50515557770509.

It is an arithmetic number, because the mean of its divisors is an integer number (50515557770509).

Almost surely, 2^{101031115541017} is an apocalyptic number.

It is an amenable number.

101031115541017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031115541017 is an equidigital number, since it uses as much as digits as its factorization.

101031115541017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 31.

Adding to 101031115541017 its reverse (710145511130101), we get a palindrome (811176626671118).

The spelling of 101031115541017 in words is "one hundred one trillion, thirty-one billion, one hundred fifteen million, five hundred forty-one thousand, seventeen".