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122205211021 is a prime number
BaseRepresentation
bin111000111001111111…
…1111000100110001101
3102200102200122221022201
41301303333320212031
54000234013223041
6132050145441501
711554234104025
oct1616377704615
9380380587281
10122205211021
1147910723873
121b826340291
13b6a702186a
145cb417ca85
1532a38a1631
hex1c73ff898d

122205211021 has 2 divisors, whose sum is σ = 122205211022. Its totient is φ = 122205211020.

The previous prime is 122205211003. The next prime is 122205211133. The reversal of 122205211021 is 120112502221.

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., 70710255396 + 51494955625 = 265914^2 + 226925^2 .

It is a cyclic number.

It is not a de Polignac number, because 122205211021 - 217 = 122205079949 is a prime.

It is a super-2 number, since 2×1222052110212 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122205211021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122205218021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61102605510 + 61102605511.

It is an arithmetic number, because the mean of its divisors is an integer number (61102605511).

Almost surely, 2122205211021 is an apocalyptic number.

It is an amenable number.

122205211021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122205211021 is an equidigital number, since it uses as much as digits as its factorization.

122205211021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 122205211021 its reverse (120112502221), we get a palindrome (242317713242).

The spelling of 122205211021 in words is "one hundred twenty-two billion, two hundred five million, two hundred eleven thousand, twenty-one".