101331111241 has 2 divisors, whose sum is σ = 101331111242. Its totient is φ = 101331111240.

The previous prime is 101331111187. The next prime is 101331111281. The reversal of 101331111241 is 142111133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82999305216 + 18331806025 = 288096^2 + 135395^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331111241 - 2⁹ = 101331110729 is a prime.

It is not a weakly prime, because it can be changed into another prime (101331111281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665555620 + 50665555621.

It is an arithmetic number, because the mean of its divisors is an integer number (50665555621).

Almost surely, 2^101331111241 is an apocalyptic number.

It is an amenable number.

101331111241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331111241 is an equidigital number, since it uses as much as digits as its factorization.

101331111241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 101331111241 its reverse (142111133101), we get a palindrome (243442244342).

The spelling of 101331111241 in words is "one hundred one billion, three hundred thirty-one million, one hundred eleven thousand, two hundred forty-one".