2100201001193 has 2 divisors, whose sum is σ = 2100201001194. Its totient is φ = 2100201001192.

The previous prime is 2100201001169. The next prime is 2100201001331. The reversal of 2100201001193 is 3911001020012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1704455580304 + 395745420889 = 1305548^2 + 629083^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100201001193 - 2¹⁰ = 2100201000169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2100201001123) 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, 1050100500596 + 1050100500597.

It is an arithmetic number, because the mean of its divisors is an integer number (1050100500597).

Almost surely, 2^{2100201001193} is an apocalyptic number.

It is an amenable number.

2100201001193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100201001193 is an equidigital number, since it uses as much as digits as its factorization.

2100201001193 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 20.

The spelling of 2100201001193 in words is "two trillion, one hundred billion, two hundred one million, one thousand, one hundred ninety-three".