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212232101201 is a prime number
BaseRepresentation
bin1100010110101000000…
…1001101110101010001
3202021210211010210211122
43011222001031311101
511434122404214301
6241255330252025
721222211044431
oct3055201156521
9667724123748
10212232101201
118200954094a
1235170127015
131702359a493
14a3b487a2c1
1557c229081b
hex316a04dd51

212232101201 has 2 divisors, whose sum is σ = 212232101202. Its totient is φ = 212232101200.

The previous prime is 212232101197. The next prime is 212232101209. The reversal of 212232101201 is 102101232212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174890403601 + 37341697600 = 418199^2 + 193240^2 .

It is a cyclic number.

It is not a de Polignac number, because 212232101201 - 22 = 212232101197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212232101201.

It is not a weakly prime, because it can be changed into another prime (212232101209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106116050600 + 106116050601.

It is an arithmetic number, because the mean of its divisors is an integer number (106116050601).

Almost surely, 2212232101201 is an apocalyptic number.

It is an amenable number.

212232101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212232101201 is an equidigital number, since it uses as much as digits as its factorization.

212232101201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212232101201 its reverse (102101232212), we get a palindrome (314333333413).

The spelling of 212232101201 in words is "two hundred twelve billion, two hundred thirty-two million, one hundred one thousand, two hundred one".