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202221012011201 is a prime number
BaseRepresentation
bin101101111110101100111111…
…100101100100100011000001
3222112000010210000120100122222
4231332230333211210203001
5203001142113033324301
61554031014520540425
760410662123031501
oct5576547745444301
9875003700510588
10202221012011201
11594854a4431347
121a81b953921715
1388ab48a0a1331
1437d1799033a01
15185a37501231b
hexb7eb3f9648c1

202221012011201 has 2 divisors, whose sum is σ = 202221012011202. Its totient is φ = 202221012011200.

The previous prime is 202221012011171. The next prime is 202221012011219. The reversal of 202221012011201 is 102110210122202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163696645771201 + 38524366240000 = 12794399^2 + 6206800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202221012011201 is a prime.

It is a super-2 number, since 2×2022210120112012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202221012011201.

It is not a weakly prime, because it can be changed into another prime (202221012611201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101110506005600 + 101110506005601.

It is an arithmetic number, because the mean of its divisors is an integer number (101110506005601).

Almost surely, 2202221012011201 is an apocalyptic number.

It is an amenable number.

202221012011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

202221012011201 is an equidigital number, since it uses as much as digits as its factorization.

202221012011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202221012011201 its reverse (102110210122202), we get a palindrome (304331222133403).

The spelling of 202221012011201 in words is "two hundred two trillion, two hundred twenty-one billion, twelve million, eleven thousand, two hundred one".