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2002022022001 is a prime number
BaseRepresentation
bin11101001000100001110…
…011111011101101110001
321002101120100122012200211
4131020201303323231301
5230300120114201001
64131414411544121
7264432654256651
oct35104163735561
97071510565624
102002022022001
11702064269951
1228400915b041
13116a3644c2b1
146cc8123c361
1537125790351
hex1d221cfbb71

2002022022001 has 2 divisors, whose sum is σ = 2002022022002. Its totient is φ = 2002022022000.

The previous prime is 2002022021977. The next prime is 2002022022041. The reversal of 2002022022001 is 1002202202002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1767038490000 + 234983532001 = 1329300^2 + 484751^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002022022001 - 231 = 1999874538353 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002022022041) 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, 1001011011000 + 1001011011001.

It is an arithmetic number, because the mean of its divisors is an integer number (1001011011001).

Almost surely, 22002022022001 is an apocalyptic number.

It is an amenable number.

2002022022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002022022001 is an equidigital number, since it uses as much as digits as its factorization.

2002022022001 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 13.

Adding to 2002022022001 its reverse (1002202202002), we get a palindrome (3004224224003).

The spelling of 2002022022001 in words is "two trillion, two billion, twenty-two million, twenty-two thousand, one".