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10201310221021 is a prime number
BaseRepresentation
bin1001010001110010110101…
…1110001101001011011101
31100010020100211221001200021
42110130231132031023131
52314114240404033041
633410230041432141
72102006656111543
oct224345536151335
940106324831607
1010201310221021
113283395743707
1211890ba19b651
1358cc96a509ba
14273a63231d93
1512a55d425cd1
hex9472d78d2dd

10201310221021 has 2 divisors, whose sum is σ = 10201310221022. Its totient is φ = 10201310221020.

The previous prime is 10201310221019. The next prime is 10201310221031. The reversal of 10201310221021 is 12012201310201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8916852932100 + 1284457288921 = 2986110^2 + 1133339^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201310221021 - 21 = 10201310221019 is a prime.

Together with 10201310221019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10201310220986 and 10201310221004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201310221031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100655110510 + 5100655110511.

It is an arithmetic number, because the mean of its divisors is an integer number (5100655110511).

Almost surely, 210201310221021 is an apocalyptic number.

It is an amenable number.

10201310221021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201310221021 is an equidigital number, since it uses as much as digits as its factorization.

10201310221021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10201310221021 its reverse (12012201310201), we get a palindrome (22213511531222).

The spelling of 10201310221021 in words is "ten trillion, two hundred one billion, three hundred ten million, two hundred twenty-one thousand, twenty-one".