1201100111191 has 16 divisors (see below), whose sum is σ = 1217549733120. Its totient is φ = 1184699355840.

The previous prime is 1201100111171. The next prime is 1201100111201. The reversal of 1201100111191 is 1911110011021.

It is a cyclic number.

It is not a de Polignac number, because 1201100111191 - 2³⁵ = 1166740372823 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201100111161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149964795 + ... + 149972803.

It is an arithmetic number, because the mean of its divisors is an integer number (76096858320).

Almost surely, 2^{1201100111191} is an apocalyptic number.

1201100111191 is a deficient number, since it is larger than the sum of its proper divisors (16449621929).

1201100111191 is a wasteful number, since it uses less digits than its factorization.

1201100111191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806.

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

The spelling of 1201100111191 in words is "one trillion, two hundred one billion, one hundred million, one hundred eleven thousand, one hundred ninety-one".