100101110110093 has 16 divisors (see below), whose sum is σ = 101585670189696. Its totient is φ = 98618635084480.

The previous prime is 100101110110061. The next prime is 100101110110147. The reversal of 100101110110093 is 390011011101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101110110093 - 2⁵ = 100101110110061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101110110093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101110110003) 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 15 ways as a sum of consecutive naturals, for example, 1757457171 + ... + 1757514127.

It is an arithmetic number, because the mean of its divisors is an integer number (6349104386856).

Almost surely, 2^{100101110110093} is an apocalyptic number.

It is an amenable number.

100101110110093 is a deficient number, since it is larger than the sum of its proper divisors (1484560079603).

100101110110093 is a wasteful number, since it uses less digits than its factorization.

100101110110093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74804.

The product of its (nonzero) digits is 27, while the sum is 19.

Adding to 100101110110093 its reverse (390011011101001), we get a palindrome (490112121211094).

The spelling of 100101110110093 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, ninety-three".