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2002221022001 is a prime number
BaseRepresentation
bin11101001000101101101…
…011000011101100110001
321002102002020002110101012
4131020231223003230301
5230301022040201001
64131450241120305
7264440621610614
oct35105553035461
97072066073335
102002221022001
11702156629562
12284063929095
13116a68746385
146cc9d84017b
1537137e9d2bb
hex1d22dac3b31

2002221022001 has 2 divisors, whose sum is σ = 2002221022002. Its totient is φ = 2002221022000.

The previous prime is 2002221021989. The next prime is 2002221022033. The reversal of 2002221022001 is 1002201222002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1375272198400 + 626948823601 = 1172720^2 + 791801^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002221022001 - 222 = 2002216827697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2002221022051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001110511000 + 1001110511001.

It is an arithmetic number, because the mean of its divisors is an integer number (1001110511001).

Almost surely, 22002221022001 is an apocalyptic number.

It is an amenable number.

2002221022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002221022001 is an equidigital number, since it uses as much as digits as its factorization.

2002221022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2002221022001 its reverse (1002201222002), we get a palindrome (3004422244003).

The spelling of 2002221022001 in words is "two trillion, two billion, two hundred twenty-one million, twenty-two thousand, one".