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122101323221 is a prime number
BaseRepresentation
bin111000110110111001…
…1100101010111010101
3102200011110011220001102
41301231303211113111
54000030414320341
6132031555035445
711551533060113
oct1615563452725
9380143156042
10122101323221
1147868017389
121b7b759bb85
13b68b6495a7
145ca4458ab3
1532996cec9b
hex1c6dce55d5

122101323221 has 2 divisors, whose sum is σ = 122101323222. Its totient is φ = 122101323220.

The previous prime is 122101323217. The next prime is 122101323233. The reversal of 122101323221 is 122323101221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102957556900 + 19143766321 = 320870^2 + 138361^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101323221 - 22 = 122101323217 is a prime.

It is a super-2 number, since 2×1221013232212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122101323193 and 122101323202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101323241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050661610 + 61050661611.

It is an arithmetic number, because the mean of its divisors is an integer number (61050661611).

Almost surely, 2122101323221 is an apocalyptic number.

It is an amenable number.

122101323221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101323221 is an equidigital number, since it uses as much as digits as its factorization.

122101323221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122101323221 its reverse (122323101221), we get a palindrome (244424424442).

The spelling of 122101323221 in words is "one hundred twenty-two billion, one hundred one million, three hundred twenty-three thousand, two hundred twenty-one".