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122010201201013 is a prime number
BaseRepresentation
bin11011101111011110110110…
…101100111001100101110101
3121000000001122200222120221021
4123233132312230321211311
5111443003343001413023
61111254413533021141
734461642345363106
oct3357366654714565
9530001580876837
10122010201201013
1135970265862334
12118264896247b1
135310688266358
14221b47a6983ad
15e18b72ed635d
hex6ef7b6b39975

122010201201013 has 2 divisors, whose sum is σ = 122010201201014. Its totient is φ = 122010201201012.

The previous prime is 122010201200933. The next prime is 122010201201017. The reversal of 122010201201013 is 310102102010221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118492412118084 + 3517789082929 = 10885422^2 + 1875577^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122010201201013 is a prime.

It is a super-2 number, since 2×1220102012010132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122010201201017) 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, 61005100600506 + 61005100600507.

It is an arithmetic number, because the mean of its divisors is an integer number (61005100600507).

Almost surely, 2122010201201013 is an apocalyptic number.

It is an amenable number.

122010201201013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122010201201013 is an equidigital number, since it uses as much as digits as its factorization.

122010201201013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122010201201013 its reverse (310102102010221), we get a palindrome (432112303211234).

The spelling of 122010201201013 in words is "one hundred twenty-two trillion, ten billion, two hundred one million, two hundred one thousand, thirteen".