100111010093 has 8 divisors (see below), whose sum is σ = 101175190200. Its totient is φ = 99047485440.

The previous prime is 100111010081. The next prime is 100111010101. The reversal of 100111010093 is 390010111001.

It can be written as a sum of positive squares in 4 ways, for example, as 1789882249 + 98321127844 = 42307^2 + 313562^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100111010093 - 2¹² = 100111005997 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 (100111010003) 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 7 ways as a sum of consecutive naturals, for example, 146333 + ... + 470781.

It is an arithmetic number, because the mean of its divisors is an integer number (12646898775).

Almost surely, 2^100111010093 is an apocalyptic number.

It is an amenable number.

100111010093 is a deficient number, since it is larger than the sum of its proper divisors (1064180107).

100111010093 is an equidigital number, since it uses as much as digits as its factorization.

100111010093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327727.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 100111010093 its reverse (390010111001), we get a palindrome (490121121094).

The spelling of 100111010093 in words is "one hundred billion, one hundred eleven million, ten thousand, ninety-three".