1010105501701 has 2 divisors, whose sum is σ = 1010105501702. Its totient is φ = 1010105501700.

The previous prime is 1010105501651. The next prime is 1010105501711. The reversal of 1010105501701 is 1071055010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 805683964801 + 204421536900 = 897599^2 + 452130^2 .

It is an emirp because it is prime and its reverse (1071055010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010105501701 - 2²³ = 1010097113093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010105501711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505052750850 + 505052750851.

It is an arithmetic number, because the mean of its divisors is an integer number (505052750851).

Almost surely, 2^{1010105501701} is an apocalyptic number.

It is an amenable number.

1010105501701 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010105501701 is an equidigital number, since it uses as much as digits as its factorization.

1010105501701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 175, while the sum is 22.

The spelling of 1010105501701 in words is "one trillion, ten billion, one hundred five million, five hundred one thousand, seven hundred one".