2123220211193 has 2 divisors, whose sum is σ = 2123220211194. Its totient is φ = 2123220211192.

The previous prime is 2123220211171. The next prime is 2123220211201. The reversal of 2123220211193 is 3911120223212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1333960320784 + 789259890409 = 1154972^2 + 888403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2123220211193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2123220211393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061610105596 + 1061610105597.

It is an arithmetic number, because the mean of its divisors is an integer number (1061610105597).

Almost surely, 2^{2123220211193} is an apocalyptic number.

It is an amenable number.

2123220211193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123220211193 is an equidigital number, since it uses as much as digits as its factorization.

2123220211193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 2123220211193 in words is "two trillion, one hundred twenty-three billion, two hundred twenty million, two hundred eleven thousand, one hundred ninety-three".