101331202024873 has 2 divisors, whose sum is σ = 101331202024874. Its totient is φ = 101331202024872.

The previous prime is 101331202024837. The next prime is 101331202024879. The reversal of 101331202024873 is 378420202133101.

Together with previous prime (101331202024837) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63711477910809 + 37619724114064 = 7981947^2 + 6133492^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101331202024873 is a prime.

It is a super-2 number, since 2×101331202024873² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101331202024879) 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, 50665601012436 + 50665601012437.

It is an arithmetic number, because the mean of its divisors is an integer number (50665601012437).

Almost surely, 2^{101331202024873} is an apocalyptic number.

It is an amenable number.

101331202024873 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331202024873 is an equidigital number, since it uses as much as digits as its factorization.

101331202024873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 101331202024873 its reverse (378420202133101), we get a palindrome (479751404157974).

The spelling of 101331202024873 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred two million, twenty-four thousand, eight hundred seventy-three".