101320213212241 has 2 divisors, whose sum is σ = 101320213212242. Its totient is φ = 101320213212240.

The previous prime is 101320213212221. The next prime is 101320213212247. The reversal of 101320213212241 is 142212312023101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61525198440000 + 39795014772241 = 7843800^2 + 6308329^2 .

It is a cyclic number.

It is not a de Polignac number, because 101320213212241 - 2⁵ = 101320213212209 is a prime.

It is not a weakly prime, because it can be changed into another prime (101320213212247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660106606120 + 50660106606121.

It is an arithmetic number, because the mean of its divisors is an integer number (50660106606121).

Almost surely, 2^{101320213212241} is an apocalyptic number.

It is an amenable number.

101320213212241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101320213212241 is an equidigital number, since it uses as much as digits as its factorization.

101320213212241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 101320213212241 its reverse (142212312023101), we get a palindrome (243532525235342).

The spelling of 101320213212241 in words is "one hundred one trillion, three hundred twenty billion, two hundred thirteen million, two hundred twelve thousand, two hundred forty-one".