12101101201191 has 32 divisors (see below), whose sum is σ = 17116002993600. Its totient is φ = 7578591289344.

The previous prime is 12101101201141. The next prime is 12101101201303. The reversal of 12101101201191 is 19110210110121.

It is a happy number.

It is not a de Polignac number, because 12101101201191 - 2¹⁷ = 12101101070119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101101201141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98282235 + ... + 98405283.

It is an arithmetic number, because the mean of its divisors is an integer number (534875093550).

Almost surely, 2^{12101101201191} is an apocalyptic number.

12101101201191 is a deficient number, since it is larger than the sum of its proper divisors (5014901792409).

12101101201191 is a wasteful number, since it uses less digits than its factorization.

12101101201191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126675.

The product of its (nonzero) digits is 36, while the sum is 21.

The spelling of 12101101201191 in words is "twelve trillion, one hundred one billion, one hundred one million, two hundred one thousand, one hundred ninety-one".