2100122208193 has 2 divisors, whose sum is σ = 2100122208194. Its totient is φ = 2100122208192.

The previous prime is 2100122208187. The next prime is 2100122208263. The reversal of 2100122208193 is 3918022210012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1297293664144 + 802828544049 = 1138988^2 + 896007^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122208193 - 2⁹ = 2100122207681 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100122200193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050061104096 + 1050061104097.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061104097).

Almost surely, 2^{2100122208193} is an apocalyptic number.

It is an amenable number.

2100122208193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122208193 is an equidigital number, since it uses as much as digits as its factorization.

2100122208193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 2100122208193 in words is "two trillion, one hundred billion, one hundred twenty-two million, two hundred eight thousand, one hundred ninety-three".