19281819110101 has 2 divisors, whose sum is σ = 19281819110102. Its totient is φ = 19281819110100.

The previous prime is 19281819110077. The next prime is 19281819110111. The reversal of 19281819110101 is 10101191818291.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18227767821201 + 1054051288900 = 4269399^2 + 1026670^2 .

It is a cyclic number.

It is not a de Polignac number, because 19281819110101 - 2²¹ = 19281817012949 is a prime.

It is a super-2 number, since 2×19281819110101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19281819110111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9640909555050 + 9640909555051.

It is an arithmetic number, because the mean of its divisors is an integer number (9640909555051).

Almost surely, 2^{19281819110101} is an apocalyptic number.

It is an amenable number.

19281819110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

19281819110101 is an equidigital number, since it uses as much as digits as its factorization.

19281819110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 43.

The spelling of 19281819110101 in words is "nineteen trillion, two hundred eighty-one billion, eight hundred nineteen million, one hundred ten thousand, one hundred one".