101122341202241 has 2 divisors, whose sum is σ = 101122341202242. Its totient is φ = 101122341202240.

The previous prime is 101122341202117. The next prime is 101122341202271. The reversal of 101122341202241 is 142202143221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55811672259841 + 45310668942400 = 7470721^2 + 6731320^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122341202241 - 2³⁰ = 101121267460417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101122341202241.

It is not a weakly prime, because it can be changed into another prime (101122341202271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561170601120 + 50561170601121.

It is an arithmetic number, because the mean of its divisors is an integer number (50561170601121).

Almost surely, 2^{101122341202241} is an apocalyptic number.

It is an amenable number.

101122341202241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122341202241 is an equidigital number, since it uses as much as digits as its factorization.

101122341202241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 101122341202241 its reverse (142202143221101), we get a palindrome (243324484423342).

The spelling of 101122341202241 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred forty-one million, two hundred two thousand, two hundred forty-one".