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1002222888001 is a prime number
BaseRepresentation
bin11101001010110010010…
…00111010010001000001
310112210220122011211120021
432211121020322101001
5112410023024404001
62044225334413441
7132260005663036
oct16453110722101
93483818154507
101002222888001
11357049768615
121422a2501281
1373680981c9a
143671776138d
151b10b9a4ba1
hexe95923a441

1002222888001 has 2 divisors, whose sum is σ = 1002222888002. Its totient is φ = 1002222888000.

The previous prime is 1002222887957. The next prime is 1002222888067. The reversal of 1002222888001 is 1008882222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 781675247376 + 220547640625 = 884124^2 + 469625^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002222888001 - 27 = 1002222887873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002222888091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501111444000 + 501111444001.

It is an arithmetic number, because the mean of its divisors is an integer number (501111444001).

Almost surely, 21002222888001 is an apocalyptic number.

It is an amenable number.

1002222888001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002222888001 is an equidigital number, since it uses as much as digits as its factorization.

1002222888001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 34.

The spelling of 1002222888001 in words is "one trillion, two billion, two hundred twenty-two million, eight hundred eighty-eight thousand, one".