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

bin | 10110111110000010010011… |

… | …110101101010111001010001 |

3 | 111020200102120020100210202011 |

4 | 112332002103311222321101 |

5 | 101220103141421401001 |

6 | 554503555352222521 |

7 | 30164314345462111 |

oct | 2676022365527121 |

9 | 436612506323664 |

10 | 101020111122001 |

11 | 2a208430159755 |

12 | b3b645a99aa41 |

13 | 444a203b25376 |

14 | 1ad35841c9041 |

15 | ba2b71901d51 |

hex | 5be093d6ae51 |

101020111122001 has 2 divisors, whose sum is σ = 101020111122002. Its totient is φ = 101020111122000.

The previous prime is 101020111121999. The next prime is 101020111122059. The reversal of 101020111122001 is 100221111020101.

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., 91990657062976 + 9029454059025 = 9591176^2 + 3004905^2 .

It is an emirp because it is prime and its reverse (100221111020101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101020111122001 - 2^{1} = 101020111121999 is a prime.

It is a super-2 number, since 2×101020111122001^{2} (a number of 29 digits) contains 22 as substring.

Together with 101020111121999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101020111122101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510055561000 + 50510055561001.

It is an arithmetic number, because the mean of its divisors is an integer number (50510055561001).

Almost surely, 2^{101020111122001} is an apocalyptic number.

It is an amenable number.

101020111122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020111122001 is an equidigital number, since it uses as much as digits as its factorization.

101020111122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101020111122001 its reverse (100221111020101), we get a palindrome (201241222142102).

The spelling of 101020111122001 in words is "one hundred one trillion, twenty billion, one hundred eleven million, one hundred twenty-two thousand, one".

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