102867649756189 has 2 divisors, whose sum is σ = 102867649756190. Its totient is φ = 102867649756188.

The previous prime is 102867649756169. The next prime is 102867649756237. The reversal of 102867649756189 is 981657946768201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102847142084164 + 20507672025 = 10141358^2 + 143205^2 .

It is an emirp because it is prime and its reverse (981657946768201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102867649756189 - 2¹¹ = 102867649754141 is a prime.

It is a super-2 number, since 2×102867649756189² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102867649756139) 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, 51433824878094 + 51433824878095.

It is an arithmetic number, because the mean of its divisors is an integer number (51433824878095).

Almost surely, 2^{102867649756189} is an apocalyptic number.

It is an amenable number.

102867649756189 is a deficient number, since it is larger than the sum of its proper divisors (1).

102867649756189 is an equidigital number, since it uses as much as digits as its factorization.

102867649756189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2194698240, while the sum is 79.

The spelling of 102867649756189 in words is "one hundred two trillion, eight hundred sixty-seven billion, six hundred forty-nine million, seven hundred fifty-six thousand, one hundred eighty-nine".