10401536766721 has 2 divisors, whose sum is σ = 10401536766722. Its totient is φ = 10401536766720.

The previous prime is 10401536766703. The next prime is 10401536766727. The reversal of 10401536766721 is 12766763510401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8922832126321 + 1478704640400 = 2987111^2 + 1216020^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401536766721 - 2¹⁷ = 10401536635649 is a prime.

It is not a weakly prime, because it can be changed into another prime (10401536766727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200768383360 + 5200768383361.

It is an arithmetic number, because the mean of its divisors is an integer number (5200768383361).

Almost surely, 2^{10401536766721} is an apocalyptic number.

It is an amenable number.

10401536766721 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401536766721 is an equidigital number, since it uses as much as digits as its factorization.

10401536766721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 10401536766721 in words is "ten trillion, four hundred one billion, five hundred thirty-six million, seven hundred sixty-six thousand, seven hundred twenty-one".