101110100091 has 64 divisors (see below), whose sum is σ = 183189565440. Its totient is φ = 47900096640.

The previous prime is 101110100087. The next prime is 101110100093. The reversal of 101110100091 is 190001011101.

It is not a de Polignac number, because 101110100091 - 2² = 101110100087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101110100091.

It is not an unprimeable number, because it can be changed into a prime (101110100093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46420 + ... + 452078.

It is an arithmetic number, because the mean of its divisors is an integer number (2862336960).

Almost surely, 2^101110100091 is an apocalyptic number.

101110100091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101110100091 is a deficient number, since it is larger than the sum of its proper divisors (82079465349).

101110100091 is a wasteful number, since it uses less digits than its factorization.

101110100091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405776.

The product of its (nonzero) digits is 9, while the sum is 15.

Adding to 101110100091 its reverse (190001011101), we get a palindrome (291111111192).

The spelling of 101110100091 in words is "one hundred one billion, one hundred ten million, one hundred thousand, ninety-one".