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202000122001 is a prime number
BaseRepresentation
bin1011110000100000100…
…1010100000010010001
3201022101201212102002001
42330020021110002101
511302144012401001
6232444135354001
720410515464326
oct2741011240221
9638351772061
10202000122001
1178738891497
1233195522901
1316082809c12
149ac39acb4d
1553c3d5d001
hex2f08254091

202000122001 has 2 divisors, whose sum is σ = 202000122002. Its totient is φ = 202000122000.

The previous prime is 202000121993. The next prime is 202000122019. The reversal of 202000122001 is 100221000202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201981931776 + 18190225 = 449424^2 + 4265^2 .

It is a cyclic number.

It is not a de Polignac number, because 202000122001 - 23 = 202000121993 is a prime.

It is not a weakly prime, because it can be changed into another prime (202000122031) 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, 101000061000 + 101000061001.

It is an arithmetic number, because the mean of its divisors is an integer number (101000061001).

Almost surely, 2202000122001 is an apocalyptic number.

It is an amenable number.

202000122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

202000122001 is an equidigital number, since it uses as much as digits as its factorization.

202000122001 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 10.

Adding to 202000122001 its reverse (100221000202), we get a palindrome (302221122203).

The spelling of 202000122001 in words is "two hundred two billion, one hundred twenty-two thousand, one".