10101111000089 has 2 divisors, whose sum is σ = 10101111000090. Its totient is φ = 10101111000088.

The previous prime is 10101111000023. The next prime is 10101111000157. The reversal of 10101111000089 is 98000011110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9995290910089 + 105820090000 = 3161533^2 + 325300^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101111000089 - 2¹² = 10101110995993 is a prime.

It is a super-2 number, since 2×10101111000089² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10101111020089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555500044 + 5050555500045.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555500045).

Almost surely, 2^{10101111000089} is an apocalyptic number.

It is an amenable number.

10101111000089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111000089 is an equidigital number, since it uses as much as digits as its factorization.

10101111000089 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 10101111000089 in words is "ten trillion, one hundred one billion, one hundred eleven million, eighty-nine", and thus it is an aban number.