19100200200101 has 2 divisors, whose sum is σ = 19100200200102. Its totient is φ = 19100200200100.

The previous prime is 19100200200043. The next prime is 19100200200121. The reversal of 19100200200101 is 10100200200191.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16150359600001 + 2949840600100 = 4018751^2 + 1717510^2 .

It is an emirp because it is prime and its reverse (10100200200191) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 19100200200101 - 2³⁰ = 19099126458277 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 19100200200101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19100200200121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9550100100050 + 9550100100051.

It is an arithmetic number, because the mean of its divisors is an integer number (9550100100051).

Almost surely, 2^{19100200200101} is an apocalyptic number.

It is an amenable number.

19100200200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

19100200200101 is an equidigital number, since it uses as much as digits as its factorization.

19100200200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 19100200200101 its reverse (10100200200191), we get a palindrome (29200400400292).

The spelling of 19100200200101 in words is "nineteen trillion, one hundred billion, two hundred million, two hundred thousand, one hundred one".