101011001089 has 2 divisors, whose sum is σ = 101011001090. Its totient is φ = 101011001088.

The previous prime is 101011001083. The next prime is 101011001123. The reversal of 101011001089 is 980100110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54947110464 + 46063890625 = 234408^2 + 214625^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011001089 - 2⁵ = 101011001057 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011001083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500544 + 50505500545.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500545).

Almost surely, 2^101011001089 is an apocalyptic number.

It is an amenable number.

101011001089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011001089 is an equidigital number, since it uses as much as digits as its factorization.

101011001089 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 22.

The spelling of 101011001089 in words is "one hundred one billion, eleven million, one thousand, eighty-nine".