101322311101153 has 2 divisors, whose sum is σ = 101322311101154. Its totient is φ = 101322311101152.

The previous prime is 101322311101097. The next prime is 101322311101157. The reversal of 101322311101153 is 351101113223101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77834882918464 + 23487428182689 = 8822408^2 + 4846383^2 .

It is an emirp because it is prime and its reverse (351101113223101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101322311101153 - 2⁹ = 101322311100641 is a prime.

It is not a weakly prime, because it can be changed into another prime (101322311101157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661155550576 + 50661155550577.

It is an arithmetic number, because the mean of its divisors is an integer number (50661155550577).

Almost surely, 2^{101322311101153} is an apocalyptic number.

It is an amenable number.

101322311101153 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322311101153 is an equidigital number, since it uses as much as digits as its factorization.

101322311101153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 25.

Adding to 101322311101153 its reverse (351101113223101), we get a palindrome (452423424324254).

The spelling of 101322311101153 in words is "one hundred one trillion, three hundred twenty-two billion, three hundred eleven million, one hundred one thousand, one hundred fifty-three".