221100193 has 2 divisors, whose sum is σ = 221100194. Its totient is φ = 221100192.

The previous prime is 221100161. The next prime is 221100203. The reversal of 221100193 is 391001122.

221100193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157929489 + 63170704 = 12567^2 + 7948^2 .

It is a cyclic number.

It is not a de Polignac number, because 221100193 - 2⁵ = 221100161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221100193.

It is not a weakly prime, because it can be changed into another prime (221100133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110550096 + 110550097.

It is an arithmetic number, because the mean of its divisors is an integer number (110550097).

Almost surely, 2^221100193 is an apocalyptic number.

It is an amenable number.

221100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

221100193 is an equidigital number, since it uses as much as digits as its factorization.

221100193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 221100193 is about 14869.4382207264. The cubic root of 221100193 is about 604.6857124982.

The spelling of 221100193 in words is "two hundred twenty-one million, one hundred thousand, one hundred ninety-three".