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1221020011009 is a prime number
BaseRepresentation
bin10001110001001010011…
…101101100101000000001
311022201122222120022021201
4101301022131230220001
5130001122110323014
62332532344221201
7154134004563661
oct21611235545001
94281588508251
101221020011009
11430916a67517
1217878516a801
138b1ac3b7c46
144315208a1a1
1521b6528be74
hex11c4a76ca01

1221020011009 has 2 divisors, whose sum is σ = 1221020011010. Its totient is φ = 1221020011008.

The previous prime is 1221020011007. The next prime is 1221020011091. The reversal of 1221020011009 is 9001100201221.

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., 852445958400 + 368574052609 = 923280^2 + 607103^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221020011009 - 21 = 1221020011007 is a prime.

Together with 1221020011007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1221020011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610510005504 + 610510005505.

It is an arithmetic number, because the mean of its divisors is an integer number (610510005505).

Almost surely, 21221020011009 is an apocalyptic number.

It is an amenable number.

1221020011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221020011009 is an equidigital number, since it uses as much as digits as its factorization.

1221020011009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 1221020011009 in words is "one trillion, two hundred twenty-one billion, twenty million, eleven thousand, nine".