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212102020201 is a prime number
BaseRepresentation
bin1100010110001001000…
…0111111110001101001
3202021110202101000020211
43011202100333301221
511433341104121301
6241234402221121
721216041265511
oct3054220776151
9667422330224
10212102020201
1181a52074095
12351346547a1
1317002653b86
14a3a1498841
1557b5b48051
hex316243fc69

212102020201 has 2 divisors, whose sum is σ = 212102020202. Its totient is φ = 212102020200.

The previous prime is 212102020189. The next prime is 212102020211. The reversal of 212102020201 is 102020201212.

It is a happy number.

212102020201 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., 194018225625 + 18083794576 = 440475^2 + 134476^2 .

It is a cyclic number.

It is not a de Polignac number, because 212102020201 - 211 = 212102018153 is a prime.

It is not a weakly prime, because it can be changed into another prime (212102020211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106051010100 + 106051010101.

It is an arithmetic number, because the mean of its divisors is an integer number (106051010101).

Almost surely, 2212102020201 is an apocalyptic number.

It is an amenable number.

212102020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102020201 is an equidigital number, since it uses as much as digits as its factorization.

212102020201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212102020201 its reverse (102020201212), we get a palindrome (314122221413).

It can be divided in two parts, 212 and 102020201, that multiplied together give a palindrome (21628282612).

The spelling of 212102020201 in words is "two hundred twelve billion, one hundred two million, twenty thousand, two hundred one".