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10221210001001 is a prime number
BaseRepresentation
bin1001010010111100111110…
…0101110101111001101001
31100012010201200212121220102
42110233033211311321221
52314431014230013001
633423320431035145
72103313053336026
oct224571745657151
940163650777812
1010221210001001
11329087764096a
121190b3266bab5
13591b1873893c
142749d00aa54d
1512ad25496e6b
hex94bcf975e69

10221210001001 has 2 divisors, whose sum is σ = 10221210001002. Its totient is φ = 10221210001000.

The previous prime is 10221210000979. The next prime is 10221210001003. The reversal of 10221210001001 is 10010001212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9859348801600 + 361861199401 = 3139960^2 + 601549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221210001001 is a prime.

Together with 10221210001003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10221210001003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110605000500 + 5110605000501.

It is an arithmetic number, because the mean of its divisors is an integer number (5110605000501).

Almost surely, 210221210001001 is an apocalyptic number.

It is an amenable number.

10221210001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221210001001 is an equidigital number, since it uses as much as digits as its factorization.

10221210001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10221210001001 its reverse (10010001212201), we get a palindrome (20231211213202).

The spelling of 10221210001001 in words is "ten trillion, two hundred twenty-one billion, two hundred ten million, one thousand, one".