100091584117011 has 16 divisors (see below), whose sum is σ = 134117562668544. Its totient is φ = 66397451455104.

The previous prime is 100091584116949. The next prime is 100091584117069. The reversal of 100091584117011 is 110711485190001.

It is not a de Polignac number, because 100091584117011 - 2⁷ = 100091584116883 is a prime.

It is a super-2 number, since 2×100091584117011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100091584117081) 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, 97903551 + ... + 98920616.

It is an arithmetic number, because the mean of its divisors is an integer number (8382347666784).

Almost surely, 2^{100091584117011} is an apocalyptic number.

100091584117011 is a deficient number, since it is larger than the sum of its proper divisors (34025978551533).

100091584117011 is a wasteful number, since it uses less digits than its factorization.

100091584117011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196825010.

The product of its (nonzero) digits is 10080, while the sum is 39.

The spelling of 100091584117011 in words is "one hundred trillion, ninety-one billion, five hundred eighty-four million, one hundred seventeen thousand, eleven".