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1001211211241 is a prime number
BaseRepresentation
bin11101001000111001101…
…01101010110111101001
310112201022010112022221122
432210130311222313221
5112400440032224431
62043541114545025
7132222642610103
oct16443465526751
93481263468848
101001211211241
1135667a69991a
1214205b738175
137354c1b6c97
143665d254573
151b09cc68a7b
hexe91cd6ade9

1001211211241 has 2 divisors, whose sum is σ = 1001211211242. Its totient is φ = 1001211211240.

The previous prime is 1001211211223. The next prime is 1001211211277. The reversal of 1001211211241 is 1421121121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 681425485225 + 319785726016 = 825485^2 + 565496^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001211211241 - 226 = 1001144102377 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001211211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500605605620 + 500605605621.

It is an arithmetic number, because the mean of its divisors is an integer number (500605605621).

Almost surely, 21001211211241 is an apocalyptic number.

It is an amenable number.

1001211211241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001211211241 is an equidigital number, since it uses as much as digits as its factorization.

1001211211241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1001211211241 its reverse (1421121121001), we get a palindrome (2422332332242).

The spelling of 1001211211241 in words is "one trillion, one billion, two hundred eleven million, two hundred eleven thousand, two hundred forty-one".