101000111010089 has 2 divisors, whose sum is σ = 101000111010090. Its totient is φ = 101000111010088.

The previous prime is 101000111009977. The next prime is 101000111010103. The reversal of 101000111010089 is 980010111000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95567575601689 + 5432535408400 = 9775867^2 + 2330780^2 .

It is an emirp because it is prime and its reverse (980010111000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000111010089 - 2¹⁶ = 101000110944553 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000111610089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500055505044 + 50500055505045.

It is an arithmetic number, because the mean of its divisors is an integer number (50500055505045).

Almost surely, 2^{101000111010089} is an apocalyptic number.

It is an amenable number.

101000111010089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000111010089 is an equidigital number, since it uses as much as digits as its factorization.

101000111010089 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 101000111010089 in words is "one hundred one trillion, one hundred eleven million, ten thousand, eighty-nine".