101233120223309 has 2 divisors, whose sum is σ = 101233120223310. Its totient is φ = 101233120223308.

The previous prime is 101233120223297. The next prime is 101233120223321. The reversal of 101233120223309 is 903322021332101.

It is a balanced prime because it is at equal distance from previous prime (101233120223297) and next prime (101233120223321).

It can be written as a sum of positive squares in only one way, i.e., 95622484755625 + 5610635467684 = 9778675^2 + 2368678^2 .

It is a cyclic number.

It is not a de Polignac number, because 101233120223309 - 2⁴ = 101233120223293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101233120223909) 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, 50616560111654 + 50616560111655.

It is an arithmetic number, because the mean of its divisors is an integer number (50616560111655).

Almost surely, 2^{101233120223309} is an apocalyptic number.

It is an amenable number.

101233120223309 is a deficient number, since it is larger than the sum of its proper divisors (1).

101233120223309 is an equidigital number, since it uses as much as digits as its factorization.

101233120223309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 101233120223309 in words is "one hundred one trillion, two hundred thirty-three billion, one hundred twenty million, two hundred twenty-three thousand, three hundred nine".