10151005066661 has 2 divisors, whose sum is σ = 10151005066662. Its totient is φ = 10151005066660.

The previous prime is 10151005066651. The next prime is 10151005066663. The reversal of 10151005066661 is 16666050015101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6513188889025 + 3637816177636 = 2552095^2 + 1907306^2 .

It is a cyclic number.

It is not a de Polignac number, because 10151005066661 - 2¹⁰ = 10151005065637 is a prime.

It is a super-3 number, since 3×10151005066661³ (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 10151005066663, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10151005066663) 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 as a sum of consecutive naturals, namely, 5075502533330 + 5075502533331.

It is an arithmetic number, because the mean of its divisors is an integer number (5075502533331).

Almost surely, 2^{10151005066661} is an apocalyptic number.

It is an amenable number.

10151005066661 is a deficient number, since it is larger than the sum of its proper divisors (1).

10151005066661 is an equidigital number, since it uses as much as digits as its factorization.

10151005066661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 10151005066661 in words is "ten trillion, one hundred fifty-one billion, five million, sixty-six thousand, six hundred sixty-one".