10020766961 has 2 divisors, whose sum is σ = 10020766962. Its totient is φ = 10020766960.

The previous prime is 10020766949. The next prime is 10020766963. The reversal of 10020766961 is 16966702001.

10020766961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8589582400 + 1431184561 = 92680^2 + 37831^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020766961 - 2¹⁴ = 10020750577 is a prime.

Together with 10020766963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10020766963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010383480 + 5010383481.

It is an arithmetic number, because the mean of its divisors is an integer number (5010383481).

Almost surely, 2^10020766961 is an apocalyptic number.

It is an amenable number.

10020766961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020766961 is an equidigital number, since it uses as much as digits as its factorization.

10020766961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 10020766961 in words is "ten billion, twenty million, seven hundred sixty-six thousand, nine hundred sixty-one".