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202221200010101 is a prime number
BaseRepresentation
bin101101111110101101001010…
…110010101110101101110101
3222112000011021010022200200012
4231332231022302232231311
5203001143004200310401
61554031045314230005
760410666565013316
oct5576551262565565
9875004233280605
10202221200010101
1159485590567738
121a81b9a6885305
1388ab4ba015c9c
1437d17b5db060d
15185a38679a8bb
hexb7eb4acaeb75

202221200010101 has 2 divisors, whose sum is σ = 202221200010102. Its totient is φ = 202221200010100.

The previous prime is 202221200010091. The next prime is 202221200010103. The reversal of 202221200010101 is 101010002122202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118946267250001 + 83274932760100 = 10906249^2 + 9125510^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202221200010101 is a prime.

Together with 202221200010103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202221200010103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101110600005050 + 101110600005051.

It is an arithmetic number, because the mean of its divisors is an integer number (101110600005051).

Almost surely, 2202221200010101 is an apocalyptic number.

It is an amenable number.

202221200010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202221200010101 is an equidigital number, since it uses as much as digits as its factorization.

202221200010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202221200010101 its reverse (101010002122202), we get a palindrome (303231202132303).

The spelling of 202221200010101 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred million, ten thousand, one hundred one".