2100122200193 has 2 divisors, whose sum is σ = 2100122200194. Its totient is φ = 2100122200192.

The previous prime is 2100122200177. The next prime is 2100122200259. The reversal of 2100122200193 is 3910022210012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2091977498689 + 8144701504 = 1446367^2 + 90248^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122200193 - 2⁴ = 2100122200177 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100122208193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050061100096 + 1050061100097.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061100097).

Almost surely, 2^{2100122200193} is an apocalyptic number.

It is an amenable number.

2100122200193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122200193 is an equidigital number, since it uses as much as digits as its factorization.

2100122200193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 2100122200193 in words is "two trillion, one hundred billion, one hundred twenty-two million, two hundred thousand, one hundred ninety-three".