21201222211193 has 2 divisors, whose sum is σ = 21201222211194. Its totient is φ = 21201222211192.

The previous prime is 21201222211171. The next prime is 21201222211199. The reversal of 21201222211193 is 39111222210212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20350230721129 + 850991490064 = 4511123^2 + 922492^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201222211193 - 2³⁰ = 21200148469369 is a prime.

It is not a weakly prime, because it can be changed into another prime (21201222211199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600611105596 + 10600611105597.

It is an arithmetic number, because the mean of its divisors is an integer number (10600611105597).

Almost surely, 2^{21201222211193} is an apocalyptic number.

It is an amenable number.

21201222211193 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201222211193 is an equidigital number, since it uses as much as digits as its factorization.

21201222211193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 21201222211193 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-two million, two hundred eleven thousand, one hundred ninety-three".