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211221330101 is a prime number
BaseRepresentation
bin1100010010110111000…
…1011011100010110101
3202012012101012022112222
43010231301123202311
511430040130030401
6241011142052125
721155155453055
oct3045561334265
9665171168488
10211221330101
118163aa30631
1234b2971a045
1316bc205b782
14a31a527565
155763682c1b
hex312dc5b8b5

211221330101 has 2 divisors, whose sum is σ = 211221330102. Its totient is φ = 211221330100.

The previous prime is 211221330097. The next prime is 211221330127. The reversal of 211221330101 is 101033122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209274226225 + 1947103876 = 457465^2 + 44126^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221330101 - 22 = 211221330097 is a prime.

It is a super-3 number, since 3×2112213301013 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 211221330101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211221330181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610665050 + 105610665051.

It is an arithmetic number, because the mean of its divisors is an integer number (105610665051).

Almost surely, 2211221330101 is an apocalyptic number.

It is an amenable number.

211221330101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221330101 is an equidigital number, since it uses as much as digits as its factorization.

211221330101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211221330101 its reverse (101033122112), we get a palindrome (312254452213).

The spelling of 211221330101 in words is "two hundred eleven billion, two hundred twenty-one million, three hundred thirty thousand, one hundred one".