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2122110121093 is a prime number
BaseRepresentation
bin11110111000010111100…
…111101011010010000101
321111212112111120201102121
4132320113213223102011
5234232040142333333
64302514532405541
7306213603260014
oct36702747532205
97455474521377
102122110121093
11748a88927136
122a33424768b1
131251639712b1
14749d4158a7b
153a30334932d
hex1ee179eb485

2122110121093 has 2 divisors, whose sum is σ = 2122110121094. Its totient is φ = 2122110121092.

The previous prime is 2122110121003. The next prime is 2122110121111. The reversal of 2122110121093 is 3901210112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1280013916129 + 842096204964 = 1131377^2 + 917658^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122110121093 - 213 = 2122110112901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122110121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061055060546 + 1061055060547.

It is an arithmetic number, because the mean of its divisors is an integer number (1061055060547).

Almost surely, 22122110121093 is an apocalyptic number.

It is an amenable number.

2122110121093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122110121093 is an equidigital number, since it uses as much as digits as its factorization.

2122110121093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 2122110121093 in words is "two trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty-one thousand, ninety-three".