221121200022193 has 2 divisors, whose sum is σ = 221121200022194. Its totient is φ = 221121200022192.

The previous prime is 221121200022127. The next prime is 221121200022209. The reversal of 221121200022193 is 391220002121122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218672137779489 + 2449062242704 = 14787567^2 + 1564948^2 .

It is a cyclic number.

It is not a de Polignac number, because 221121200022193 - 2³³ = 221112610087601 is a prime.

It is not a weakly prime, because it can be changed into another prime (221121200028193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560600011096 + 110560600011097.

It is an arithmetic number, because the mean of its divisors is an integer number (110560600011097).

Almost surely, 2^{221121200022193} is an apocalyptic number.

It is an amenable number.

221121200022193 is a deficient number, since it is larger than the sum of its proper divisors (1).

221121200022193 is an equidigital number, since it uses as much as digits as its factorization.

221121200022193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 221121200022193 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred million, twenty-two thousand, one hundred ninety-three".