102757758219217 has 2 divisors, whose sum is σ = 102757758219218. Its totient is φ = 102757758219216.

The previous prime is 102757758219203. The next prime is 102757758219251. The reversal of 102757758219217 is 712912857757201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79328663608896 + 23429094610321 = 8906664^2 + 4840361^2 .

It is a cyclic number.

It is not a de Polignac number, because 102757758219217 - 2¹⁵ = 102757758186449 is a prime.

It is not a weakly prime, because it can be changed into another prime (102757758249217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51378879109608 + 51378879109609.

It is an arithmetic number, because the mean of its divisors is an integer number (51378879109609).

Almost surely, 2^{102757758219217} is an apocalyptic number.

It is an amenable number.

102757758219217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102757758219217 is an equidigital number, since it uses as much as digits as its factorization.

102757758219217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34574400, while the sum is 64.

The spelling of 102757758219217 in words is "one hundred two trillion, seven hundred fifty-seven billion, seven hundred fifty-eight million, two hundred nineteen thousand, two hundred seventeen".