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202221001202201 is a prime number
BaseRepresentation
bin101101111110101100111110…
…111100010101101000011001
3222112000010202021020012111122
4231332230332330111220121
5203001142102301432301
61554031013453135025
760410661632122412
oct5576547674255031
9875003667205448
10202221001202201
1159485499319393
121a81b95018a475
1388ab487a88487
1437d179781c809
15185a3740c981b
hexb7eb3ef15a19

202221001202201 has 2 divisors, whose sum is σ = 202221001202202. Its totient is φ = 202221001202200.

The previous prime is 202221001202137. The next prime is 202221001202219. The reversal of 202221001202201 is 102202100122202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201794525593600 + 426475608601 = 14205440^2 + 653051^2 .

It is a cyclic number.

It is not a de Polignac number, because 202221001202201 - 26 = 202221001202137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 202221001202201.

It is not a weakly prime, because it can be changed into another prime (202221061202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101110500601100 + 101110500601101.

It is an arithmetic number, because the mean of its divisors is an integer number (101110500601101).

Almost surely, 2202221001202201 is an apocalyptic number.

It is an amenable number.

202221001202201 is a deficient number, since it is larger than the sum of its proper divisors (1).

202221001202201 is an equidigital number, since it uses as much as digits as its factorization.

202221001202201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202221001202201 its reverse (102202100122202), we get a palindrome (304423101324403).

The spelling of 202221001202201 in words is "two hundred two trillion, two hundred twenty-one billion, one million, two hundred two thousand, two hundred one".