Base | Representation |
---|---|

bin | 100110001001… |

… | …011011111001 |

3 | 200211001120212 |

4 | 212021123321 |

5 | 10030000441 |

6 | 554200505 |

7 | 150666605 |

oct | 46113371 |

9 | 20731525 |

10 | 10000121 |

11 | 571026a |

12 | 3423135 |

13 | 20c1941 |

14 | 1484505 |

15 | d27eeb |

hex | 9896f9 |

10000121 has 2 divisors, whose sum is σ = 10000122. Its totient is φ = 10000120.

The previous prime is 10000103. The next prime is 10000139. The reversal of 10000121 is 12100001.

Adding to 10000121 its reverse (12100001), we get a palindrome (22100122).

Multipling 10000121 by its reverse (12100001), we get a palindrome (121001474100121).

It can be divided in two parts, 10000 and 121, that multiplied together give a square (1210000 = 1100^{2}).

It is a happy number.

10000121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10000103) and next prime (10000139).

It can be written as a sum of positive squares in only one way, i.e., 8410000 + 1590121 = 2900^2 + 1261^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-10000121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10000141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000060 + 5000061.

It is an arithmetic number, because the mean of its divisors is an integer number (5000061).

Almost surely, 2^{10000121} is an apocalyptic number.

It is an amenable number.

10000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000121 is an equidigital number, since it uses as much as digits as its factorization.

10000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 10000121 is about 3162.2967918904. The cubic root of 10000121 is about 215.4443379550. Note that the first 3 decimals are identical.

The spelling of 10000121 in words is "ten million, one hundred twenty-one", and thus it is an aban number.

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