102211258208561 has 2 divisors, whose sum is σ = 102211258208562. Its totient is φ = 102211258208560.

The previous prime is 102211258208557. The next prime is 102211258208597. The reversal of 102211258208561 is 165802852112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102087885861025 + 123372347536 = 10103855^2 + 351244^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211258208561 - 2² = 102211258208557 is a prime.

It is not a weakly prime, because it can be changed into another prime (102211258208551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105629104280 + 51105629104281.

It is an arithmetic number, because the mean of its divisors is an integer number (51105629104281).

Almost surely, 2^{102211258208561} is an apocalyptic number.

It is an amenable number.

102211258208561 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211258208561 is an equidigital number, since it uses as much as digits as its factorization.

102211258208561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 153600, while the sum is 44.

The spelling of 102211258208561 in words is "one hundred two trillion, two hundred eleven billion, two hundred fifty-eight million, two hundred eight thousand, five hundred sixty-one".