1010101101089 has 2 divisors, whose sum is σ = 1010101101090. Its totient is φ = 1010101101088.

The previous prime is 1010101101049. The next prime is 1010101101167. The reversal of 1010101101089 is 9801011010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 609422229025 + 400678872064 = 780655^2 + 632992^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010101101089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010101101049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050550544 + 505050550545.

It is an arithmetic number, because the mean of its divisors is an integer number (505050550545).

Almost surely, 2^{1010101101089} is an apocalyptic number.

It is an amenable number.

1010101101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010101101089 is an equidigital number, since it uses as much as digits as its factorization.

1010101101089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 1010101101089 in words is "one trillion, ten billion, one hundred one million, one hundred one thousand, eighty-nine".