100010100093 has 8 divisors (see below), whose sum is σ = 133372167456. Its totient is φ = 66660716400.

The previous prime is 100010100079. The next prime is 100010100109. The reversal of 100010100093 is 390001010001.

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

It is not a de Polignac number, because 100010100093 - 2²⁰ = 100009051517 is a prime.

It is a super-2 number, since 2×100010100093² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3152503 + ... + 3184068.

It is an arithmetic number, because the mean of its divisors is an integer number (16671520932).

Almost surely, 2^100010100093 is an apocalyptic number.

It is an amenable number.

100010100093 is a deficient number, since it is larger than the sum of its proper divisors (33362067363).

100010100093 is an equidigital number, since it uses as much as digits as its factorization.

100010100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341835.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100010100093 its reverse (390001010001), we get a palindrome (490011110094).

The spelling of 100010100093 in words is "one hundred billion, ten million, one hundred thousand, ninety-three".