10066012105501 has 16 divisors (see below), whose sum is σ = 11031067837440. Its totient is φ = 9109295279280.

The previous prime is 10066012105459. The next prime is 10066012105519. The reversal of 10066012105501 is 10550121066001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10066012105501 - 2²¹ = 10066010008349 is a prime.

It is a super-2 number, since 2×10066012105501² (a number of 27 digits) contains 22 as substring.

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 10066012105501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066012105571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17259580 + ... + 17833258.

It is an arithmetic number, because the mean of its divisors is an integer number (689441739840).

Almost surely, 2^{10066012105501} is an apocalyptic number.

10066012105501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10066012105501 is a deficient number, since it is larger than the sum of its proper divisors (965055731939).

10066012105501 is a wasteful number, since it uses less digits than its factorization.

10066012105501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580944.

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 10066012105501 in words is "ten trillion, sixty-six billion, twelve million, one hundred five thousand, five hundred one".