10061656560101 has 2 divisors, whose sum is σ = 10061656560102. Its totient is φ = 10061656560100.

The previous prime is 10061656560079. The next prime is 10061656560199. The reversal of 10061656560101 is 10106565616001.

10061656560101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9822745783876 + 238910776225 = 3134126^2 + 488785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10061656560101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10061656565101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5030828280050 + 5030828280051.

It is an arithmetic number, because the mean of its divisors is an integer number (5030828280051).

Almost surely, 2^{10061656560101} is an apocalyptic number.

It is an amenable number.

10061656560101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10061656560101 is an equidigital number, since it uses as much as digits as its factorization.

10061656560101 is an evil number, because the sum of its binary digits is even.

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

The spelling of 10061656560101 in words is "ten trillion, sixty-one billion, six hundred fifty-six million, five hundred sixty thousand, one hundred one".