101110866652241 has 2 divisors, whose sum is σ = 101110866652242. Its totient is φ = 101110866652240.

The previous prime is 101110866652207. The next prime is 101110866652249. The reversal of 101110866652241 is 142256668011101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101031044016400 + 79822635841 = 10051420^2 + 282529^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110866652241 - 2³⁰ = 101109792910417 is a prime.

It is a super-2 number, since 2×101110866652241² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110866652192 and 101110866652201.

It is not a weakly prime, because it can be changed into another prime (101110866652249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555433326120 + 50555433326121.

It is an arithmetic number, because the mean of its divisors is an integer number (50555433326121).

Almost surely, 2^{101110866652241} is an apocalyptic number.

It is an amenable number.

101110866652241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110866652241 is an equidigital number, since it uses as much as digits as its factorization.

101110866652241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 101110866652241 in words is "one hundred one trillion, one hundred ten billion, eight hundred sixty-six million, six hundred fifty-two thousand, two hundred forty-one".