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121211122022201 is a prime number
BaseRepresentation
bin11011100011110110101001…
…110111101111011100111001
3120220011200002111112102011002
4123203312221313233130321
5111341410334214202301
61105443342025014345
734350133412416001
oct3343665167573471
9526150074472132
10121211122022201
1135692391461192
121171763b6243b5
13528320ccc34b3
1421d091474d001
15e02ea598516b
hex6e3da9def739

121211122022201 has 2 divisors, whose sum is σ = 121211122022202. Its totient is φ = 121211122022200.

The previous prime is 121211122022189. The next prime is 121211122022261. The reversal of 121211122022201 is 102220221112121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120005430180601 + 1205691841600 = 10954699^2 + 1098040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121211122022201 is a prime.

It is a super-2 number, since 2×1212111220222012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121211122022261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60605561011100 + 60605561011101.

It is an arithmetic number, because the mean of its divisors is an integer number (60605561011101).

Almost surely, 2121211122022201 is an apocalyptic number.

It is an amenable number.

121211122022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

121211122022201 is an equidigital number, since it uses as much as digits as its factorization.

121211122022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121211122022201 its reverse (102220221112121), we get a palindrome (223431343134322).

The spelling of 121211122022201 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred twenty-two million, twenty-two thousand, two hundred one".