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211200121201 is a prime number
BaseRepresentation
bin1100010010110010000…
…0100001100101110001
3202012010220021210102011
43010230200201211301
511430014212334301
6241005103322521
721154510260406
oct3045440414561
9665126253364
10211200121201
1181629a65013
1234b225b0441
1316bba844024
14a3177a62ad
155761893a51
hex312c821971

211200121201 has 2 divisors, whose sum is σ = 211200121202. Its totient is φ = 211200121200.

The previous prime is 211200121199. The next prime is 211200121211. The reversal of 211200121201 is 102121002112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110995585600 + 100204535601 = 333160^2 + 316551^2 .

It is a cyclic number.

It is not a de Polignac number, because 211200121201 - 21 = 211200121199 is a prime.

It is a super-3 number, since 3×2112001212013 (a number of 35 digits) contains 333 as substring.

Together with 211200121199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (211200121211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105600060600 + 105600060601.

It is an arithmetic number, because the mean of its divisors is an integer number (105600060601).

Almost surely, 2211200121201 is an apocalyptic number.

It is an amenable number.

211200121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

211200121201 is an equidigital number, since it uses as much as digits as its factorization.

211200121201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211200121201 its reverse (102121002112), we get a palindrome (313321123313).

The spelling of 211200121201 in words is "two hundred eleven billion, two hundred million, one hundred twenty-one thousand, two hundred one".