2105217666201 has 8 divisors (see below), whose sum is σ = 3022876648960. Its totient is φ = 1295518563792.

The previous prime is 2105217666137. The next prime is 2105217666259. The reversal of 2105217666201 is 1026667125012.

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

It is not a de Polignac number, because 2105217666201 - 2⁶ = 2105217666137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 53979940159 = 2105217666201 / (2 + 1 + 0 + 5 + 2 + 1 + 7 + 6 + 6 + 6 + 2 + 0 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2105217666201.

It is not an unprimeable number, because it can be changed into a prime (2105217666001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26989970041 + ... + 26989970118.

It is an arithmetic number, because the mean of its divisors is an integer number (377859581120).

Almost surely, 2^{2105217666201} is an apocalyptic number.

It is an amenable number.

2105217666201 is a deficient number, since it is larger than the sum of its proper divisors (917658982759).

2105217666201 is a wasteful number, since it uses less digits than its factorization.

2105217666201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53979940175.

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 2105217666201 in words is "two trillion, one hundred five billion, two hundred seventeen million, six hundred sixty-six thousand, two hundred one".