101100112101191 has 16 divisors (see below), whose sum is σ = 115775066359104. Its totient is φ = 86483349540864.

The previous prime is 101100112101187. The next prime is 101100112101227. The reversal of 101100112101191 is 191101211001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101100112101191 - 2² = 101100112101187 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 (101100112101101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63320 + ... + 14219853.

It is an arithmetic number, because the mean of its divisors is an integer number (7235941647444).

Almost surely, 2^{101100112101191} is an apocalyptic number.

101100112101191 is a deficient number, since it is larger than the sum of its proper divisors (14674954257913).

101100112101191 is a wasteful number, since it uses less digits than its factorization.

101100112101191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14285210.

The product of its (nonzero) digits is 18, while the sum is 20.

Adding to 101100112101191 its reverse (191101211001101), we get a palindrome (292201323102292).

The spelling of 101100112101191 in words is "one hundred one trillion, one hundred billion, one hundred twelve million, one hundred one thousand, one hundred ninety-one".