101010111077233 has 2 divisors, whose sum is σ = 101010111077234. Its totient is φ = 101010111077232.

The previous prime is 101010111077177. The next prime is 101010111077269. The reversal of 101010111077233 is 332770111010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90657495944929 + 10352615132304 = 9521423^2 + 3217548^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010111077233 - 2¹⁷ = 101010110946161 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010111027233) 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, 50505055538616 + 50505055538617.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055538617).

Almost surely, 2^{101010111077233} is an apocalyptic number.

It is an amenable number.

101010111077233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010111077233 is an equidigital number, since it uses as much as digits as its factorization.

101010111077233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 28.

Adding to 101010111077233 its reverse (332770111010101), we get a palindrome (433780222087334).

The spelling of 101010111077233 in words is "one hundred one trillion, ten billion, one hundred eleven million, seventy-seven thousand, two hundred thirty-three".