10109865888341 has 2 divisors, whose sum is σ = 10109865888342. Its totient is φ = 10109865888340.

The previous prime is 10109865888337. The next prime is 10109865888413. The reversal of 10109865888341 is 14388856890101.

10109865888341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10109865888413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9582405038116 + 527460850225 = 3095546^2 + 726265^2 .

It is a cyclic number.

It is not a de Polignac number, because 10109865888341 - 2² = 10109865888337 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10109865878341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5054932944170 + 5054932944171.

It is an arithmetic number, because the mean of its divisors is an integer number (5054932944171).

Almost surely, 2^{10109865888341} is an apocalyptic number.

It is an amenable number.

10109865888341 is a deficient number, since it is larger than the sum of its proper divisors (1).

10109865888341 is an equidigital number, since it uses as much as digits as its factorization.

10109865888341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13271040, while the sum is 62.

The spelling of 10109865888341 in words is "ten trillion, one hundred nine billion, eight hundred sixty-five million, eight hundred eighty-eight thousand, three hundred forty-one".