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10221202201009 is a prime number
BaseRepresentation
bin1001010010111100111100…
…1000000101100110110001
31100012010201011012100022211
42110233033020011212301
52314431010230413014
633423315551532121
72103312630131362
oct224571710054661
940163634170284
1010221202201009
1132908731a3698
121190b2bb2a041
13591b16c37567
142749cd039b69
1512ad24955cc4
hex94bcf2059b1

10221202201009 has 2 divisors, whose sum is σ = 10221202201010. Its totient is φ = 10221202201008.

The previous prime is 10221202200971. The next prime is 10221202201099. The reversal of 10221202201009 is 90010220212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9471467880625 + 749734320384 = 3077575^2 + 865872^2 .

It is an emirp because it is prime and its reverse (90010220212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221202201009 - 217 = 10221202069937 is a prime.

It is a super-2 number, since 2×102212022010092 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10221202201099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110601100504 + 5110601100505.

It is an arithmetic number, because the mean of its divisors is an integer number (5110601100505).

Almost surely, 210221202201009 is an apocalyptic number.

It is an amenable number.

10221202201009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221202201009 is an equidigital number, since it uses as much as digits as its factorization.

10221202201009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10221202201009 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, two hundred one thousand, nine".