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2200121121001 is a prime number
BaseRepresentation
bin100000000001000001011…
…100000001100011101001
321210022220020001010020111
4200001001130001203221
5242021322001333001
64402415515054321
7314645023652356
oct40010134014351
97708806033214
102200121121001
11779080019a91
122b64941413a1
1312c6169b077b
14786b4a9d62d
153c36bdc9851
hex200417018e9

2200121121001 has 2 divisors, whose sum is σ = 2200121121002. Its totient is φ = 2200121121000.

The previous prime is 2200121120959. The next prime is 2200121121047. The reversal of 2200121121001 is 1001211210022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2027334584025 + 172786536976 = 1423845^2 + 415676^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200121121001 - 215 = 2200121088233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200121121061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100060560500 + 1100060560501.

It is an arithmetic number, because the mean of its divisors is an integer number (1100060560501).

Almost surely, 22200121121001 is an apocalyptic number.

It is an amenable number.

2200121121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200121121001 is an equidigital number, since it uses as much as digits as its factorization.

2200121121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2200121121001 its reverse (1001211210022), we get a palindrome (3201332331023).

The spelling of 2200121121001 in words is "two trillion, two hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, one".