100110001001193 has 16 divisors (see below), whose sum is σ = 148479075384640. Its totient is φ = 66664417411872.

The previous prime is 100110001001159. The next prime is 100110001001239. The reversal of 100110001001193 is 391100100011001.

It is not a de Polignac number, because 100110001001193 - 2¹⁴ = 100110000984809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110001001293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2099510596 + ... + 2099558277.

It is an arithmetic number, because the mean of its divisors is an integer number (9279942211540).

Almost surely, 2^{100110001001193} is an apocalyptic number.

It is an amenable number.

100110001001193 is a deficient number, since it is larger than the sum of its proper divisors (48369074383447).

100110001001193 is an equidigital number, since it uses as much as digits as its factorization.

100110001001193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199069765 (or 4199069759 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 100110001001193 its reverse (391100100011001), we get a palindrome (491210101012194).

The spelling of 100110001001193 in words is "one hundred trillion, one hundred ten billion, one million, one thousand, one hundred ninety-three".