1828201919101 has 2 divisors, whose sum is σ = 1828201919102. Its totient is φ = 1828201919100.

The previous prime is 1828201919081. The next prime is 1828201919107. The reversal of 1828201919101 is 1019191028281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1751054079076 + 77147840025 = 1323274^2 + 277755^2 .

It is a cyclic number.

It is not a de Polignac number, because 1828201919101 - 2⁷ = 1828201918973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1828201919107) 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, 914100959550 + 914100959551.

It is an arithmetic number, because the mean of its divisors is an integer number (914100959551).

Almost surely, 2^{1828201919101} is an apocalyptic number.

It is an amenable number.

1828201919101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1828201919101 is an equidigital number, since it uses as much as digits as its factorization.

1828201919101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 43.

The spelling of 1828201919101 in words is "one trillion, eight hundred twenty-eight billion, two hundred one million, nine hundred nineteen thousand, one hundred one".