2001100002193 has 16 divisors (see below), whose sum is σ = 2122309944000. Its totient is φ = 1881499976640.

The previous prime is 2001100002173. The next prime is 2001100002203. The reversal of 2001100002193 is 3912000011002.

It is not a de Polignac number, because 2001100002193 - 2²⁵ = 2001066447761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 2001100002193.

It is not an unprimeable number, because it can be changed into a prime (2001100002173) 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, 3142638 + ... + 3725368.

It is an arithmetic number, because the mean of its divisors is an integer number (132644371500).

Almost surely, 2^{2001100002193} is an apocalyptic number.

It is an amenable number.

2001100002193 is a deficient number, since it is larger than the sum of its proper divisors (121209941807).

2001100002193 is a wasteful number, since it uses less digits than its factorization.

2001100002193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584112.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 2001100002193 its reverse (3912000011002), we get a palindrome (5913100013195).

The spelling of 2001100002193 in words is "two trillion, one billion, one hundred million, two thousand, one hundred ninety-three".