10109865888361 has 8 divisors (see below), whose sum is σ = 10704791709864. Its totient is φ = 9514965381120.

The previous prime is 10109865888341. The next prime is 10109865888413. The reversal of 10109865888361 is 16388856890101.

It is a happy number.

10109865888361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2170742542336 + 7939123346025 = 1473344^2 + 2817645^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10109865888361 - 2⁵ = 10109865888329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10109865888293 and 10109865888302.

It is not an unprimeable number, because it can be changed into a prime (10109865888341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5503240 + ... + 7106713.

It is an arithmetic number, because the mean of its divisors is an integer number (1338098963733).

Almost surely, 2^{10109865888361} is an apocalyptic number.

It is an amenable number.

10109865888361 is a deficient number, since it is larger than the sum of its proper divisors (594925821503).

10109865888361 is a wasteful number, since it uses less digits than its factorization.

10109865888361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657131.

The product of its (nonzero) digits is 19906560, while the sum is 64.

The spelling of 10109865888361 in words is "ten trillion, one hundred nine billion, eight hundred sixty-five million, eight hundred eighty-eight thousand, three hundred sixty-one".