101101011073 has 2 divisors, whose sum is σ = 101101011074. Its totient is φ = 101101011072.

The previous prime is 101101010993. The next prime is 101101011103. The reversal of 101101011073 is 370110101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80413079184 + 20687931889 = 283572^2 + 143833^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101011073 - 2¹³ = 101101002881 is a prime.

It is a super-2 number, since 2×101101011073² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101101011673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550505536 + 50550505537.

It is an arithmetic number, because the mean of its divisors is an integer number (50550505537).

Almost surely, 2^101101011073 is an apocalyptic number.

It is an amenable number.

101101011073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101011073 is an equidigital number, since it uses as much as digits as its factorization.

101101011073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 16.

Adding to 101101011073 its reverse (370110101101), we get a palindrome (471211112174).

The spelling of 101101011073 in words is "one hundred one billion, one hundred one million, eleven thousand, seventy-three".