19191100109201 has 2 divisors, whose sum is σ = 19191100109202. Its totient is φ = 19191100109200.

The previous prime is 19191100109117. The next prime is 19191100109231. The reversal of 19191100109201 is 10290100119191.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9763750090000 + 9427350019201 = 3124700^2 + 3070399^2 .

It is an emirp because it is prime and its reverse (10290100119191) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 19191100109201 - 2¹⁴ = 19191100092817 is a prime.

It is a super-3 number, since 3×19191100109201³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (19191100109231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9595550054600 + 9595550054601.

It is an arithmetic number, because the mean of its divisors is an integer number (9595550054601).

Almost surely, 2^{19191100109201} is an apocalyptic number.

It is an amenable number.

19191100109201 is a deficient number, since it is larger than the sum of its proper divisors (1).

19191100109201 is an equidigital number, since it uses as much as digits as its factorization.

19191100109201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 35.

The spelling of 19191100109201 in words is "nineteen trillion, one hundred ninety-one billion, one hundred million, one hundred nine thousand, two hundred one".