11101201010191 has 16 divisors (see below), whose sum is σ = 11207865352320. Its totient is φ = 10994931684000.

The previous prime is 11101201010083. The next prime is 11101201010287. The reversal of 11101201010191 is 19101010210111.

It is a cyclic number.

It is not a de Polignac number, because 11101201010191 - 2²⁵ = 11101167455759 is a prime.

It is a super-3 number, since 3×11101201010191³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101201010591) 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, 282806316 + ... + 282845566.

It is an arithmetic number, because the mean of its divisors is an integer number (700491584520).

Almost surely, 2^{11101201010191} is an apocalyptic number.

11101201010191 is a deficient number, since it is larger than the sum of its proper divisors (106664342129).

11101201010191 is a wasteful number, since it uses less digits than its factorization.

11101201010191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44214.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 11101201010191 in words is "eleven trillion, one hundred one billion, two hundred one million, ten thousand, one hundred ninety-one".