727620701022101 has 2 divisors, whose sum is σ = 727620701022102. Its totient is φ = 727620701022100.

The previous prime is 727620701022073. The next prime is 727620701022109. The reversal of 727620701022101 is 101220107026727.

727620701022101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401819103521476 + 325801597500625 = 20045426^2 + 18049975^2 .

It is a cyclic number.

It is not a de Polignac number, because 727620701022101 - 2³⁰ = 727619627280277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (727620701022109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363810350511050 + 363810350511051.

It is an arithmetic number, because the mean of its divisors is an integer number (363810350511051).

Almost surely, 2^{727620701022101} is an apocalyptic number.

It is an amenable number.

727620701022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

727620701022101 is an equidigital number, since it uses as much as digits as its factorization.

727620701022101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32928, while the sum is 38.

Adding to 727620701022101 its reverse (101220107026727), we get a palindrome (828840808048828).

The spelling of 727620701022101 in words is "seven hundred twenty-seven trillion, six hundred twenty billion, seven hundred one million, twenty-two thousand, one hundred one".