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122021112221 is a prime number
BaseRepresentation
bin111000110100100000…
…1100110100110011101
3102122221212020202020122
41301221001212212131
53444344401042341
6132020011524325
711546540224601
oct1615101464635
9378855222218
10122021112221
11478268116a8
121b7947596a5
13b677b44168
145c97939501
15329263894b
hex1c6906699d

122021112221 has 2 divisors, whose sum is σ = 122021112222. Its totient is φ = 122021112220.

The previous prime is 122021112149. The next prime is 122021112223. The reversal of 122021112221 is 122211120221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121096344121 + 924768100 = 347989^2 + 30410^2 .

It is a cyclic number.

It is not a de Polignac number, because 122021112221 - 214 = 122021095837 is a prime.

Together with 122021112223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122021112221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122021112223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61010556110 + 61010556111.

It is an arithmetic number, because the mean of its divisors is an integer number (61010556111).

Almost surely, 2122021112221 is an apocalyptic number.

It is an amenable number.

122021112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122021112221 is an equidigital number, since it uses as much as digits as its factorization.

122021112221 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 17.

Adding to 122021112221 its reverse (122211120221), we get a palindrome (244232232442).

The spelling of 122021112221 in words is "one hundred twenty-two billion, twenty-one million, one hundred twelve thousand, two hundred twenty-one".