10101028027061 has 2 divisors, whose sum is σ = 10101028027062. Its totient is φ = 10101028027060.

The previous prime is 10101028027021. The next prime is 10101028027109. The reversal of 10101028027061 is 16072082010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8228493046225 + 1872534980836 = 2868535^2 + 1368406^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101028027061 - 2⁶ = 10101028026997 is a prime.

It is a Sophie Germain 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 (10101028027001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050514013530 + 5050514013531.

It is an arithmetic number, because the mean of its divisors is an integer number (5050514013531).

Almost surely, 2^{10101028027061} is an apocalyptic number.

It is an amenable number.

10101028027061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101028027061 is an equidigital number, since it uses as much as digits as its factorization.

10101028027061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 29.

The spelling of 10101028027061 in words is "ten trillion, one hundred one billion, twenty-eight million, twenty-seven thousand, sixty-one".