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122100201029 is a prime number
BaseRepresentation
bin111000110110110111…
…1010011011001000101
3102200011101001212200202
41301231233103121011
54000030122413104
6132031515020245
711551520404322
oct1615557233105
9380141055622
10122100201029
1147867420254
121b7b713a685
13b68b345881
145ca4245b49
15329955c51e
hex1c6dbd3645

122100201029 has 2 divisors, whose sum is σ = 122100201030. Its totient is φ = 122100201028.

The previous prime is 122100201007. The next prime is 122100201103. The reversal of 122100201029 is 920102001221.

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., 97342752004 + 24757449025 = 311998^2 + 157345^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100201029 - 28 = 122100200773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122100201029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100200029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050100514 + 61050100515.

It is an arithmetic number, because the mean of its divisors is an integer number (61050100515).

Almost surely, 2122100201029 is an apocalyptic number.

It is an amenable number.

122100201029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100201029 is an equidigital number, since it uses as much as digits as its factorization.

122100201029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 122100201029 in words is "one hundred twenty-two billion, one hundred million, two hundred one thousand, twenty-nine".