10010106661 has 16 divisors (see below), whose sum is σ = 10742803200. Its totient is φ = 9298231488.

The previous prime is 10010106571. The next prime is 10010106683. The reversal of 10010106661 is 16660101001.

It is a cyclic number.

It is not a de Polignac number, because 10010106661 - 2¹⁷ = 10009975589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010106361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2452020 + ... + 2456098.

It is an arithmetic number, because the mean of its divisors is an integer number (671425200).

Almost surely, 2^10010106661 is an apocalyptic number.

It is an amenable number.

10010106661 is a deficient number, since it is larger than the sum of its proper divisors (732696539).

10010106661 is a wasteful number, since it uses less digits than its factorization.

10010106661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588.

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

Adding to 10010106661 its reverse (16660101001), we get a palindrome (26670207662).

The spelling of 10010106661 in words is "ten billion, ten million, one hundred six thousand, six hundred sixty-one".