10000001010661 has 2 divisors, whose sum is σ = 10000001010662. Its totient is φ = 10000001010660.

The previous prime is 10000001010631. The next prime is 10000001010689. The reversal of 10000001010661 is 16601010000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8637397713025 + 1362603297636 = 2938945^2 + 1167306^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000001010661 - 2³⁷ = 9862562057189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000001010631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000000505330 + 5000000505331.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000505331).

Almost surely, 2^{10000001010661} is an apocalyptic number.

It is an amenable number.

10000001010661 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001010661 is an equidigital number, since it uses as much as digits as its factorization.

10000001010661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10000001010661 its reverse (16601010000001), we get a palindrome (26601011010662).

The spelling of 10000001010661 in words is "ten trillion, one million, ten thousand, six hundred sixty-one".