10205123405663 has 16 divisors (see below), whose sum is σ = 10568324465664. Its totient is φ = 9846745754400.

The previous prime is 10205123405641. The next prime is 10205123405731. The reversal of 10205123405663 is 36650432150201.

It is a cyclic number.

It is not a de Polignac number, because 10205123405663 - 2¹⁸ = 10205123143519 is a prime.

It is a super-3 number, since 3×10205123405663³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205123405063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1723706 + ... + 4835432.

It is an arithmetic number, because the mean of its divisors is an integer number (660520279104).

Almost surely, 2^{10205123405663} is an apocalyptic number.

10205123405663 is a deficient number, since it is larger than the sum of its proper divisors (363201060001).

10205123405663 is a wasteful number, since it uses less digits than its factorization.

10205123405663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112502.

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 10205123405663 its reverse (36650432150201), we get a palindrome (46855555555864).

The spelling of 10205123405663 in words is "ten trillion, two hundred five billion, one hundred twenty-three million, four hundred five thousand, six hundred sixty-three".