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2012110201093 is a prime number
BaseRepresentation
bin11101010001111011000…
…111010010000100000101
321010100121102022210210111
4131101323013102010011
5230431300202413333
64140203424353021
7265240652341546
oct35217307220405
97110542283714
102012110201093
11706370831143
12285b63775771
131179834a1935
146d55ad964cd
153751626a4cd
hex1d47b1d2105

2012110201093 has 2 divisors, whose sum is σ = 2012110201094. Its totient is φ = 2012110201092.

The previous prime is 2012110201091. The next prime is 2012110201109. The reversal of 2012110201093 is 3901020112102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1629712666404 + 382397534689 = 1276602^2 + 618383^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012110201093 - 21 = 2012110201091 is a prime.

It is a super-2 number, since 2×20121102010932 (a number of 25 digits) contains 22 as substring.

Together with 2012110201091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012110201091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006055100546 + 1006055100547.

It is an arithmetic number, because the mean of its divisors is an integer number (1006055100547).

Almost surely, 22012110201093 is an apocalyptic number.

It is an amenable number.

2012110201093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012110201093 is an equidigital number, since it uses as much as digits as its factorization.

2012110201093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 2012110201093 its reverse (3901020112102), we get a palindrome (5913130313195).

The spelling of 2012110201093 in words is "two trillion, twelve billion, one hundred ten million, two hundred one thousand, ninety-three".