100010001101093 has 8 divisors (see below), whose sum is σ = 100209089832768. Its totient is φ = 99811085719744.

The previous prime is 100010001101081. The next prime is 100010001101111. The reversal of 100010001101093 is 390101100010001.

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 100010001101093 - 2⁴ = 100010001101077 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 (100010001101053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42182555 + ... + 44490312.

It is an arithmetic number, because the mean of its divisors is an integer number (12526136229096).

Almost surely, 2^{100010001101093} is an apocalyptic number.

It is an amenable number.

100010001101093 is a deficient number, since it is larger than the sum of its proper divisors (199088731675).

100010001101093 is an equidigital number, since it uses as much as digits as its factorization.

100010001101093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86675163.

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

Adding to 100010001101093 its reverse (390101100010001), we get a palindrome (490111101111094).

The spelling of 100010001101093 in words is "one hundred trillion, ten billion, one million, one hundred one thousand, ninety-three".