10006061010601 has 8 divisors (see below), whose sum is σ = 10607015338920. Its totient is φ = 9406480293888.

The previous prime is 10006061010577. The next prime is 10006061010607. The reversal of 10006061010601 is 10601016060001.

It can be written as a sum of positive squares in 4 ways, for example, as 4580888370601 + 5425172640000 = 2140301^2 + 2329200^2 .

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 10006061010601 - 2⁹ = 10006061010089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10006061010607) 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, 343387896 + ... + 343417033.

It is an arithmetic number, because the mean of its divisors is an integer number (1325876917365).

Almost surely, 2^{10006061010601} is an apocalyptic number.

It is an amenable number.

10006061010601 is a deficient number, since it is larger than the sum of its proper divisors (600954328319).

10006061010601 is an equidigital number, since it uses as much as digits as its factorization.

10006061010601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686805803.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 10006061010601 its reverse (10601016060001), we get a palindrome (20607077070602).

The spelling of 10006061010601 in words is "ten trillion, six billion, sixty-one million, ten thousand, six hundred one".