19101100192001 has 16 divisors (see below), whose sum is σ = 19204789916160. Its totient is φ = 18997598217600.

The previous prime is 19101100191977. The next prime is 19101100192021. The reversal of 19101100192001 is 10029100110191.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-19101100192001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19101100192021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908570576 + ... + 908591598.

It is an arithmetic number, because the mean of its divisors is an integer number (1200299369760).

Almost surely, 2^{19101100192001} is an apocalyptic number.

It is an amenable number.

19101100192001 is a deficient number, since it is larger than the sum of its proper divisors (103689724159).

19101100192001 is a wasteful number, since it uses less digits than its factorization.

19101100192001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25256.

The product of its (nonzero) digits is 162, while the sum is 26.

The spelling of 19101100192001 in words is "nineteen trillion, one hundred one billion, one hundred million, one hundred ninety-two thousand, one".