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121000101201 = 327193117918217
BaseRepresentation
bin111000010110000101…
…0110000010101010001
3102120022201001000102200
41300230022300111101
53440302011214301
6131330420033413
711512331614230
oct1605412602521
9376281030380
10121000101201
1147352447a41
121b54a832869
13b54445b625
145bdc0bcb17
153232ba6c86
hex1c2c2b0551

121000101201 has 96 divisors (see below), whose sum is σ = 218266214400. Its totient is φ = 63033189120.

The previous prime is 121000101199. The next prime is 121000101203. The reversal of 121000101201 is 102101000121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121000101199) and next prime (121000101203).

It is not a de Polignac number, because 121000101201 - 21 = 121000101199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121000101203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6633045 + ... + 6651261.

It is an arithmetic number, because the mean of its divisors is an integer number (2273606400).

Almost surely, 2121000101201 is an apocalyptic number.

It is an amenable number.

121000101201 is a deficient number, since it is larger than the sum of its proper divisors (97266113199).

121000101201 is a wasteful number, since it uses less digits than its factorization.

121000101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18459 (or 18456 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121000101201 its reverse (102101000121), we get a palindrome (223101101322).

The spelling of 121000101201 in words is "one hundred twenty-one billion, one hundred one thousand, two hundred one".

Divisors: 1 3 7 9 19 21 31 57 63 93 133 171 179 217 279 399 537 589 651 1197 1253 1611 1767 1953 3401 3759 4123 5301 5549 10203 11277 12369 16647 18217 23807 30609 37107 38843 49941 54651 71421 105431 116529 127519 163953 214263 316293 346123 349587 382557 564727 738017 948879 1038369 1147671 1694181 2214051 2422861 3115107 3260843 3953089 5082543 6642153 7268583 9782529 10729813 11859267 21805749 22825901 29347587 32189439 35577801 61956017 68477703 75108691 96568317 101086133 185868051 205433109 225326073 303258399 433692119 557604153 675978219 707602931 909775197 1301076357 1920636527 2122808793 3903229071 5761909581 6368426379 13444455689 17285728743 40333367067 121000101201