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211222202101 is a prime number
BaseRepresentation
bin1100010010110111010…
…0110000011011110101
3202012012102211121201021
43010231310300123311
511430040340431401
6241011212501141
721155166044251
oct3045564603365
9665172747637
10211222202101
1181640476799
1234b29a7a7b1
1316bc22a5651
14a31a6b3261
1557637a62a1
hex312dd306f5

211222202101 has 2 divisors, whose sum is σ = 211222202102. Its totient is φ = 211222202100.

The previous prime is 211222202077. The next prime is 211222202131. The reversal of 211222202101 is 101202222112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127470420900 + 83751781201 = 357030^2 + 289399^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222202101 - 219 = 211221677813 is a prime.

It is a super-2 number, since 2×2112222021012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211222202131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105611101050 + 105611101051.

It is an arithmetic number, because the mean of its divisors is an integer number (105611101051).

Almost surely, 2211222202101 is an apocalyptic number.

It is an amenable number.

211222202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222202101 is an equidigital number, since it uses as much as digits as its factorization.

211222202101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211222202101 its reverse (101202222112), we get a palindrome (312424424213).

The spelling of 211222202101 in words is "two hundred eleven billion, two hundred twenty-two million, two hundred two thousand, one hundred one".