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22101022121 is a prime number
BaseRepresentation
bin10100100101010100…
…101101010110101001
32010001020222020202212
4110211110231112221
5330230330201441
614053021334505
71411453405553
oct244524552651
963036866685
1022101022121
1194114a6042
124349707435
132112a62aa9
1410d935a4d3
15895435eeb
hex52552d5a9

22101022121 has 2 divisors, whose sum is σ = 22101022122. Its totient is φ = 22101022120.

The previous prime is 22101022117. The next prime is 22101022123. The reversal of 22101022121 is 12122010122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14543154025 + 7557868096 = 120595^2 + 86936^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101022121 - 22 = 22101022117 is a prime.

Together with 22101022123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 22101022096 and 22101022105.

It is not a weakly prime, because it can be changed into another prime (22101022123) 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, 11050511060 + 11050511061.

It is an arithmetic number, because the mean of its divisors is an integer number (11050511061).

Almost surely, 222101022121 is an apocalyptic number.

It is an amenable number.

22101022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101022121 is an equidigital number, since it uses as much as digits as its factorization.

22101022121 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 22101022121 its reverse (12122010122), we get a palindrome (34223032243).

The spelling of 22101022121 in words is "twenty-two billion, one hundred one million, twenty-two thousand, one hundred twenty-one".