10001101200019 has 2 divisors, whose sum is σ = 10001101200020. Its totient is φ = 10001101200018.

The previous prime is 10001101199993. The next prime is 10001101200031. The reversal of 10001101200019 is 91000210110001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10001101200019 - 2²⁷ = 10000966982291 is a prime.

It is a super-2 number, since 2×10001101200019² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001101199975 and 10001101200011.

It is not a weakly prime, because it can be changed into another prime (10001101200059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550600009 + 5000550600010.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550600010).

Almost surely, 2^{10001101200019} is an apocalyptic number.

10001101200019 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101200019 is an equidigital number, since it uses as much as digits as its factorization.

10001101200019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 10001101200019 in words is "ten trillion, one billion, one hundred one million, two hundred thousand, nineteen".