2001100020193 has 2 divisors, whose sum is σ = 2001100020194. Its totient is φ = 2001100020192.

The previous prime is 2001100020137. The next prime is 2001100020211. The reversal of 2001100020193 is 3910200011002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1752425259264 + 248674760929 = 1323792^2 + 498673^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001100020193 - 2¹³ = 2001100012001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001100020193.

It is not a weakly prime, because it can be changed into another prime (2001100020133) 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 as a sum of consecutive naturals, namely, 1000550010096 + 1000550010097.

It is an arithmetic number, because the mean of its divisors is an integer number (1000550010097).

Almost surely, 2^{2001100020193} is an apocalyptic number.

It is an amenable number.

2001100020193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001100020193 is an equidigital number, since it uses as much as digits as its factorization.

2001100020193 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2001100020193 its reverse (3910200011002), we get a palindrome (5911300031195).

The spelling of 2001100020193 in words is "two trillion, one billion, one hundred million, twenty thousand, one hundred ninety-three".