100191091101 has 8 divisors (see below), whose sum is σ = 134910776544. Its totient is φ = 66132733200.

The previous prime is 100191091079. The next prime is 100191091103. The reversal of 100191091101 is 101190191001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100191091101 - 2⁵ = 100191091069 is a prime.

It is a super-3 number, since 3×100191091101³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100191091103) 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 7 ways as a sum of consecutive naturals, for example, 165331531 + ... + 165332136.

It is an arithmetic number, because the mean of its divisors is an integer number (16863847068).

Almost surely, 2^100191091101 is an apocalyptic number.

It is an amenable number.

100191091101 is a deficient number, since it is larger than the sum of its proper divisors (34719685443).

100191091101 is a wasteful number, since it uses less digits than its factorization.

100191091101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330663771.

The product of its (nonzero) digits is 81, while the sum is 24.

The spelling of 100191091101 in words is "one hundred billion, one hundred ninety-one million, ninety-one thousand, one hundred one".