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1001212021009 is a prime number
BaseRepresentation
bin11101001000111001110…
…00110000100100010001
310112201022012001110202001
432210130320300210101
5112400440234133014
62043541144154001
7132222652521664
oct16443470604421
93481265043661
101001212021009
113566800a2252
1214205ba68901
137354c40b735
143665d3c56db
151b09cd78974
hexe91ce30911

1001212021009 has 2 divisors, whose sum is σ = 1001212021010. Its totient is φ = 1001212021008.

The previous prime is 1001212021001. The next prime is 1001212021063. The reversal of 1001212021009 is 9001202121001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 813053873025 + 188158147984 = 901695^2 + 433772^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001212021009 - 23 = 1001212021001 is a prime.

It is a super-2 number, since 2×10012120210092 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001212021001) 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, 500606010504 + 500606010505.

It is an arithmetic number, because the mean of its divisors is an integer number (500606010505).

Almost surely, 21001212021009 is an apocalyptic number.

It is an amenable number.

1001212021009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001212021009 is an equidigital number, since it uses as much as digits as its factorization.

1001212021009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 1001212021009 in words is "one trillion, one billion, two hundred twelve million, twenty-one thousand, nine".