101010101035573 has 2 divisors, whose sum is σ = 101010101035574. Its totient is φ = 101010101035572.

The previous prime is 101010101035531. The next prime is 101010101035579. The reversal of 101010101035573 is 375530101010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86308689321009 + 14701411714564 = 9290247^2 + 3834242^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010101035573 - 2⁹ = 101010101035061 is a prime.

It is a super-2 number, since 2×101010101035573² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010101035579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505050517786 + 50505050517787.

It is an arithmetic number, because the mean of its divisors is an integer number (50505050517787).

Almost surely, 2^{101010101035573} is an apocalyptic number.

It is an amenable number.

101010101035573 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010101035573 is an equidigital number, since it uses as much as digits as its factorization.

101010101035573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 28.

Adding to 101010101035573 its reverse (375530101010101), we get a palindrome (476540202045674).

The spelling of 101010101035573 in words is "one hundred one trillion, ten billion, one hundred one million, thirty-five thousand, five hundred seventy-three".