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2122111020149 is a prime number
BaseRepresentation
bin11110111000010111101…
…011000110110001110101
321111212112120021101200222
4132320113223012301311
5234232040410121044
64302515003544125
7306213614023121
oct36702753066165
97455476241628
102122111020149
11748a8939065a
122a334282b045
13125163bc7593
14749d4310581
153a3034758ee
hex1ee17ac6c75

2122111020149 has 2 divisors, whose sum is σ = 2122111020150. Its totient is φ = 2122111020148.

The previous prime is 2122111020101. The next prime is 2122111020151. The reversal of 2122111020149 is 9410201112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2105058577924 + 17052442225 = 1450882^2 + 130585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122111020149 is a prime.

Together with 2122111020151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122111020649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061055510074 + 1061055510075.

It is an arithmetic number, because the mean of its divisors is an integer number (1061055510075).

Almost surely, 22122111020149 is an apocalyptic number.

It is an amenable number.

2122111020149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122111020149 is an equidigital number, since it uses as much as digits as its factorization.

2122111020149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 2122111020149 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, twenty thousand, one hundred forty-nine".