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22212120101 is a prime number
BaseRepresentation
bin10100101011111100…
…100000111000100101
32010100000000121112212
4110223330200320211
5330442300320401
614112030453205
71414302622433
oct245374407045
963300017485
1022212120101
119469187656
12437a964205
13212ca90b42
141109dd9d53
158a007ddbb
hex52bf20e25

22212120101 has 2 divisors, whose sum is σ = 22212120102. Its totient is φ = 22212120100.

The previous prime is 22212120071. The next prime is 22212120143. The reversal of 22212120101 is 10102121222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15260896225 + 6951223876 = 123535^2 + 83374^2 .

It is a cyclic number.

It is not a de Polignac number, because 22212120101 - 26 = 22212120037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22212120001) 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, 11106060050 + 11106060051.

It is an arithmetic number, because the mean of its divisors is an integer number (11106060051).

Almost surely, 222212120101 is an apocalyptic number.

It is an amenable number.

22212120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212120101 is an equidigital number, since it uses as much as digits as its factorization.

22212120101 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 14.

Adding to 22212120101 its reverse (10102121222), we get a palindrome (32314241323).

The spelling of 22212120101 in words is "twenty-two billion, two hundred twelve million, one hundred twenty thousand, one hundred one".