101056061089 has 2 divisors, whose sum is σ = 101056061090. Its totient is φ = 101056061088.

The previous prime is 101056061063. The next prime is 101056061123. The reversal of 101056061089 is 980160650101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75317313600 + 25738747489 = 274440^2 + 160433^2 .

It is a cyclic number.

It is not a de Polignac number, because 101056061089 - 2¹⁹ = 101055536801 is a prime.

It is not a weakly prime, because it can be changed into another prime (101056061989) 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, 50528030544 + 50528030545.

It is an arithmetic number, because the mean of its divisors is an integer number (50528030545).

Almost surely, 2^101056061089 is an apocalyptic number.

It is an amenable number.

101056061089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101056061089 is an equidigital number, since it uses as much as digits as its factorization.

101056061089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 101056061089 in words is "one hundred one billion, fifty-six million, sixty-one thousand, eighty-nine".